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Author SHA1 Message Date
milner 6b0f933c3a add(named): the paper measure with machine checked counterexamples to its invariants (M5 metatheory) 2026-09-23 01:30:00 +02:00
milner 6235dee2ee add(named): an Es setoid rewriting layer with the modulo reduction (M5 metatheory) 2026-09-23 00:54:00 +02:00
milner 6de7b0f078 add(named): free variable invariance of the C equivalence (M5 metatheory) 2026-09-23 00:21:00 +02:00
milner 5ac05d5b32 fix(named): free variable preservation for the full metaterm reduction including RX (M5 metatheory) 2026-09-22 23:55:00 +02:00
milner cde6e1d197 add(named): free variable preservation for the named metaterm reduction (M5 metatheory) 2026-09-22 23:38:00 +02:00
milner 0e1a6659b4 add(named): congruence of the C equivalence and the R rule with capture avoidance (M5 named rules) 2026-09-22 23:04:00 +02:00
milner 728ed42efc add(metaterm): full composition for the term fragment of metaterms (M5 full composition) 2026-09-22 22:43:00 +02:00
milner 1302c5d661 add(named): a named metaterm calculus with the C equation and the RX rule (M5 named rules) 2026-09-22 22:15:00 +02:00
milner 6af4aed111 add(metaterm): contexts and the B Gc and R rules on metaterms with the embedding of term reduction (M5 rules) 2026-09-22 21:13:00 +02:00
milner fb2ddff7fa add(metaterm): free variable laws for lifting opening and closing on metaterms (M5 binding) 2026-09-22 20:42:00 +02:00
milner 7e6c888f57 add(metaterm): syntax of metaterms with annotated metavariables and the embedding of terms (M5 syntax) 2026-09-22 20:18:00 +02:00
milner b62812b2db add(index): a generated plain text index of every result with its status and file (tooling) 2026-09-22 19:31:00 +02:00
milner 5e964ff747 add(check): exhaustive enumeration of terms up to a size bound with an agreement check against red1 (tests) 2026-09-22 18:55:00 +02:00
milner 1da58ae826 add(reduction): normal form predicate with its decision procedure from red1_dec (reduction theory) 2026-09-22 18:33:00 +02:00
milner b9a6401b26 add(substitution): lifting commutes with opening and a simultaneous substitution composition lemma (M2 support) 2026-09-22 18:03:00 +02:00
milner b42a95a824 add(subsystem): termination of the Gc only fragment via a decreasing count of explicit substitutions (M3 partial) 2026-09-22 17:38:00 +02:00
milner 5eeb2bae20 add(subsystem): a computable substitution normaliser with reachability and normal form specifications (M3 infrastructure) 2026-09-22 16:58:00 +02:00
milner 048e1f6ab6 add(metatheory): composition and context stability for nonempty reduction (M2 support) 2026-09-22 16:40:00 +02:00
milner 214c1e124a add(closure): reflexive transitive closure of reduction and its algebra (M2 support) 2026-09-22 16:07:00 +02:00
milner f6eea4ead3 add(check): deterministic sample terms and a bounded computed agreement check against red1 (tests) 2026-09-22 15:12:00 +02:00
milner 1d816036e7 add(confluence): parallel reduction with reflexivity contextual closure and the inclusion of red1 (M4 infrastructure) 2026-09-22 14:52:00 +02:00
milner b519a277c3 add(substitution): substitution distributes over applications and explicit substitutions (M2 support) 2026-09-22 14:17:00 +02:00
milner e87226e57e add(subsystem): occurrence count per explicit substitution and the absence of a critical overlap between R and Gc (M3 infrastructure) 2026-09-22 13:49:00 +02:00
milner 5facd1f064 add(subsystem): define the relation generated by R and Gc and prove its embedding into red1 (M3 infrastructure) 2026-09-22 12:59:00 +02:00
milner 1291234a8a add(tests): bounded conformance suite for the reducer against the relational semantics (golden corpus) 2026-09-22 12:17:00 +02:00
milner b27ef8cd2e add(graphs): derive theorem metadata from the sources and add graphs and audit build aliases (no drift) 2026-09-22 12:02:00 +02:00
milner 5cdf928891 add(metatheory): nonempty reduction closure free variable preservation full composition and beta simulation (M2) 2026-09-22 11:40:00 +02:00
milner b8b8458aa8 add(reduction): full completeness and a decision procedure for one step reduction (context composition over positions) 2026-09-22 11:02:00 +02:00
milner 3617ca6f6c add(reduction): relational one-step semantics verified against the executable reducer (zipper focus for R) 2026-09-22 10:35:00 +02:00
milner 2dd7882628 add(binding): locally nameless opening closing lifting and substitution laws (M1 obligations) 2026-09-22 09:50:00 +02:00
milner af32b21463 initial commit: confluence and normalisation 2026-09-22 09:20:00 +02:00
26 changed files with 1017 additions and 1023 deletions
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README.md
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## Graphs ## Graphs
The dependency graphs are drawn in black and white and split by milestone. Every edge runs from a dependency to the result that uses it. A box is a result named after a paper statement, an ellipse is a supporting result, and a dashed box labelled with a milestone is a result defined in another diagram. The overview gives the shape of the whole development: The dependency graphs are drawn in greyscale and split by milestone. Every edge runs from a dependency to the result that uses it. A box is a result named after a paper statement, an ellipse is a supporting result, and a dashed box labelled with a milestone is a result defined in another diagram. The overview gives the shape of the whole development:
<p align="center"><img src="graphs/dependency-overview.svg?v=black-white" alt="Theorem dependency by milestone"></p> <p align="center"><img src="graphs/dependency-overview.svg" alt="Theorem dependency by milestone"></p>
The details are then one diagram per milestone: The details are then one diagram per milestone:
### M1, binding and reduction ### M1, binding and reduction
<p align="center"><img src="graphs/dependency-M1.svg?v=black-white" alt="M1 dependencies"></p> <p align="center"><img src="graphs/dependency-M1.svg" alt="M1 dependencies"></p>
### M2, metatheory and checks ### M2, metatheory and checks
<p align="center"><img src="graphs/dependency-M2.svg?v=black-white" alt="M2 dependencies"></p> <p align="center"><img src="graphs/dependency-M2.svg" alt="M2 dependencies"></p>
### M3, subsystem ### M3, subsystem
<p align="center"><img src="graphs/dependency-M3.svg?v=black-white" alt="M3 dependencies"></p> <p align="center"><img src="graphs/dependency-M3.svg" alt="M3 dependencies"></p>
### M4, parallel reduction ### M4, parallel reduction
<p align="center"><img src="graphs/dependency-M4.svg?v=black-white" alt="M4 dependencies"></p> <p align="center"><img src="graphs/dependency-M4.svg" alt="M4 dependencies"></p>
### M5, metaterms and the named calculus ### M5, metaterms and the named calculus
<p align="center"><img src="graphs/dependency-M5.svg?v=black-white" alt="M5 dependencies"></p> <p align="center"><img src="graphs/dependency-M5.svg" alt="M5 dependencies"></p>
The rule sketch gives the transition system generated by the rules B and Gc and R: The rule sketch gives the transition system generated by the rules B and Gc and R:
<p align="center"><img src="graphs/rules.svg?v=black-white" alt="Reduction rules"></p> <p align="center"><img src="graphs/rules.svg" alt="Reduction rules"></p>
The reduction graph gives the bounded reduct set of the term that applies the duplicating identity to a variable with every edge labelled by its rule and with the normal form marked: The reduction graph gives the bounded reduct set of the term that applies the duplicating identity to a variable with every edge labelled by its rule and with the normal form marked:
<p align="center"><img src="graphs/reduction.svg?v=black-white" alt="Reduction graph of the duplicating identity"></p> <p align="center"><img src="graphs/reduction.svg" alt="Reduction graph of the duplicating identity"></p>
graphs/dependency-M1.dot
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digraph deps { digraph deps {
rankdir=LR; rankdir=LR;
bgcolor="#ffffff"; bgcolor="transparent";
splines=polyline; splines=polyline;
concentrate=true; concentrate=true;
nodesep=0.2; nodesep=0.2;
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node [fontname=Inter, fontsize=9]; node [fontname=Inter, fontsize=9];
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graph [fontname=Inter, fontsize=12, labelloc=t, fontcolor="#000000", label=<<B>Theorem dependencies M1, 33 results</B>>]; graph [fontname=Inter, fontsize=12, labelloc=t, fontcolor="#c9d1bb", label=<<B>Theorem dependencies M1, 33 results</B>>];
close_rec_fvar [label="close_rec_fvar", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="close_rec_fvar theory/Binding.v proved"]; close_rec_fvar [label="close_rec_fvar", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="close_rec_fvar theory/Binding.v proved"];
close_rec_fvs [label="close_rec_fvs", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="close_rec_fvs theory/Binding.v proved"]; close_rec_fvs [label="close_rec_fvs", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="close_rec_fvs theory/Binding.v proved"];
close_rec_notin [label="close_rec_notin", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="close_rec_notin theory/Binding.v proved"]; close_rec_notin [label="close_rec_notin", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="close_rec_notin theory/Binding.v proved"];
fvs_lift [label="fvs_lift", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="fvs_lift theory/Binding.v proved"]; fvs_lift [label="fvs_lift", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="fvs_lift theory/Binding.v proved"];
lift_0_lc [label="lift_0_lc", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="lift_0_lc theory/Binding.v proved"]; lift_0_lc [label="lift_0_lc", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="lift_0_lc theory/Binding.v proved"];
lift_lc [label="lift_lc", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="lift_lc theory/Binding.v proved"]; lift_lc [label="lift_lc", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="lift_lc theory/Binding.v proved"];
open_close [label="open_close", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_close theory/Binding.v proved"]; open_close [label="open_close", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_close theory/Binding.v proved"];
open_rec_bvar [label="open_rec_bvar", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_bvar theory/Binding.v proved"]; open_rec_bvar [label="open_rec_bvar", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_bvar theory/Binding.v proved"];
open_rec_bvar_neq [label="open_rec_bvar_neq", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_bvar_neq theory/Binding.v proved"]; open_rec_bvar_neq [label="open_rec_bvar_neq", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_bvar_neq theory/Binding.v proved"];
open_rec_fvs [label="open_rec_fvs", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_fvs theory/Binding.v proved"]; open_rec_fvs [label="open_rec_fvs", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_fvs theory/Binding.v proved"];
open_rec_occurs_false [label="open_rec_occurs_false", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_occurs_false theory/Binding.v proved"]; open_rec_occurs_false [label="open_rec_occurs_false", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_occurs_false theory/Binding.v proved"];
subst_fvar_other [label="subst_fvar_other", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_fvar_other theory/Binding.v proved"]; subst_fvar_other [label="subst_fvar_other", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_fvar_other theory/Binding.v proved"];
subst_fvar_self [label="subst_fvar_self", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_fvar_self theory/Binding.v proved"]; subst_fvar_self [label="subst_fvar_self", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_fvar_self theory/Binding.v proved"];
subst_fvs [label="subst_fvs", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_fvs theory/Binding.v proved"]; subst_fvs [label="subst_fvs", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_fvs theory/Binding.v proved"];
at_ctx_comp [label="at_ctx_comp", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="at_ctx_comp theory/Reduction.v proved"]; at_ctx_comp [label="at_ctx_comp", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="at_ctx_comp theory/Reduction.v proved"];
has_red_f [label="has_red_f", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="has_red_f theory/Reduction.v proved"]; has_red_f [label="has_red_f", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="has_red_f theory/Reduction.v proved"];
has_red_spec [label="has_red_spec", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="has_red_spec theory/Reduction.v proved"]; has_red_spec [label="has_red_spec", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="has_red_spec theory/Reduction.v proved"];
nf_dec [label="nf_dec", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nf_dec theory/Reduction.v proved"]; nf_dec [label="nf_dec", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nf_dec theory/Reduction.v proved"];
nf_iff_steps_nil [label="nf_iff_steps_nil", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nf_iff_steps_nil theory/Reduction.v proved"]; nf_iff_steps_nil [label="nf_iff_steps_nil", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nf_iff_steps_nil theory/Reduction.v proved"];
normal_form_iff_nf [label="normal_form_iff_nf", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="normal_form_iff_nf theory/Reduction.v proved"]; normal_form_iff_nf [label="normal_form_iff_nf", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="normal_form_iff_nf theory/Reduction.v proved"];
plug_comp [label="plug_comp", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="plug_comp theory/Reduction.v proved"]; plug_comp [label="plug_comp", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="plug_comp theory/Reduction.v proved"];
positions_at [label="positions_at", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="positions_at theory/Reduction.v proved"]; positions_at [label="positions_at", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="positions_at theory/Reduction.v proved"];
positions_comp [label="positions_comp", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="positions_comp theory/Reduction.v proved"]; positions_comp [label="positions_comp", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="positions_comp theory/Reduction.v proved"];
positions_hole [label="positions_hole", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="positions_hole theory/Reduction.v proved"]; positions_hole [label="positions_hole", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="positions_hole theory/Reduction.v proved"];
red1_dec [label="red1_dec", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="red1_dec theory/Reduction.v proved"]; red1_dec [label="red1_dec", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="red1_dec theory/Reduction.v proved"];
root_steps_complete [label="root_steps_complete", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="root_steps_complete theory/Reduction.v proved"]; root_steps_complete [label="root_steps_complete", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="root_steps_complete theory/Reduction.v proved"];
root_steps_in_steps [label="root_steps_in_steps", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="root_steps_in_steps theory/Reduction.v proved"]; root_steps_in_steps [label="root_steps_in_steps", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="root_steps_in_steps theory/Reduction.v proved"];
root_steps_sound [label="root_steps_sound", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="root_steps_sound theory/Reduction.v proved"]; root_steps_sound [label="root_steps_sound", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="root_steps_sound theory/Reduction.v proved"];
steps_complete [label="steps_complete", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="steps_complete theory/Reduction.v proved"]; steps_complete [label="steps_complete", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="steps_complete theory/Reduction.v proved"];
steps_sound [label="steps_sound", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="steps_sound theory/Reduction.v proved"]; steps_sound [label="steps_sound", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="steps_sound theory/Reduction.v proved"];
steps_sound_red1 [label="steps_sound_red1", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="steps_sound_red1 theory/Reduction.v proved"]; steps_sound_red1 [label="steps_sound_red1", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="steps_sound_red1 theory/Reduction.v proved"];
zdecs_complete [label="zdecs_complete", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="zdecs_complete theory/Reduction.v proved"]; zdecs_complete [label="zdecs_complete", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="zdecs_complete theory/Reduction.v proved"];
zdecs_sound [label="zdecs_sound", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="zdecs_sound theory/Reduction.v proved"]; zdecs_sound [label="zdecs_sound", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="zdecs_sound theory/Reduction.v proved"];
lift_lc -> lift_0_lc; lift_lc -> lift_0_lc;
fvs_lift -> open_rec_fvs; fvs_lift -> open_rec_fvs;
open_rec_bvar -> open_rec_fvs; open_rec_bvar -> open_rec_fvs;
graphs/dependency-M1.png
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graphs/dependency-M1.svg
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<text text-anchor="start" x="375.95" y="-694.4" font-family="Inter" font-weight="bold" font-size="12.00" fill="#000000">Theorem dependencies M1, 33 results</text>
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@@ -23,8 +22,8 @@
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<title>close_rec_fvs</title> <title>close_rec_fvs</title>
<g id="a_node2"><a xlink:title="close_rec_fvs theory/Binding.v proved"> <g id="a_node2"><a xlink:title="close_rec_fvs theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-168" rx="43.1" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-168" rx="43.1" ry="18"/>
<text text-anchor="middle" x="263.61" y="-165.8" font-family="Inter" font-size="9.00" fill="#000000">close_rec_fvs</text> <text text-anchor="middle" x="263.61" y="-165.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">close_rec_fvs</text>
</a> </a>
</g> </g>
</g> </g>
@@ -32,23 +31,23 @@
<g id="node14" class="node"> <g id="node14" class="node">
<title>subst_fvs</title> <title>subst_fvs</title>
<g id="a_node14"><a xlink:title="subst_fvs theory/Binding.v proved"> <g id="a_node14"><a xlink:title="subst_fvs theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="442.35" cy="-143" rx="34.13" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="442.35" cy="-143" rx="34.13" ry="18"/>
<text text-anchor="middle" x="442.35" y="-140.8" font-family="Inter" font-size="9.00" fill="#000000">subst_fvs</text> <text text-anchor="middle" x="442.35" y="-140.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_fvs</text>
</a> </a>
</g> </g>
</g> </g>
<!-- close_rec_fvs&#45;&gt;subst_fvs --> <!-- close_rec_fvs&#45;&gt;subst_fvs -->
<g id="edge7" class="edge"> <g id="edge7" class="edge">
<title>close_rec_fvs&#45;&gt;subst_fvs</title> <title>close_rec_fvs&#45;&gt;subst_fvs</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M304.71,-162.33C334.28,-158.14 374.26,-152.49 403.32,-148.38"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M304.71,-162.33C334.28,-158.14 374.26,-152.49 403.32,-148.38"/>
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</g> </g>
<!-- close_rec_notin --> <!-- close_rec_notin -->
<g id="node3" class="node"> <g id="node3" class="node">
<title>close_rec_notin</title> <title>close_rec_notin</title>
<g id="a_node3"><a xlink:title="close_rec_notin theory/Binding.v proved"> <g id="a_node3"><a xlink:title="close_rec_notin theory/Binding.v proved">
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<text text-anchor="middle" x="67.55" y="-215.8" font-family="Inter" font-size="9.00" fill="#000000">close_rec_notin</text> <text text-anchor="middle" x="67.55" y="-215.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">close_rec_notin</text>
</a> </a>
</g> </g>
</g> </g>
@@ -56,8 +55,8 @@
<g id="node4" class="node"> <g id="node4" class="node">
<title>fvs_lift</title> <title>fvs_lift</title>
<g id="a_node4"><a xlink:title="fvs_lift theory/Binding.v proved"> <g id="a_node4"><a xlink:title="fvs_lift theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="67.55" cy="-168" rx="27" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="67.55" cy="-168" rx="27" ry="18"/>
<text text-anchor="middle" x="67.55" y="-165.8" font-family="Inter" font-size="9.00" fill="#000000">fvs_lift</text> <text text-anchor="middle" x="67.55" y="-165.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">fvs_lift</text>
</a> </a>
</g> </g>
</g> </g>
@@ -65,23 +64,23 @@
<g id="node10" class="node"> <g id="node10" class="node">
<title>open_rec_fvs</title> <title>open_rec_fvs</title>
<g id="a_node10"><a xlink:title="open_rec_fvs theory/Binding.v proved"> <g id="a_node10"><a xlink:title="open_rec_fvs theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-118" rx="43.1" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-118" rx="43.1" ry="18"/>
<text text-anchor="middle" x="263.61" y="-115.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_fvs</text> <text text-anchor="middle" x="263.61" y="-115.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_fvs</text>
</a> </a>
</g> </g>
</g> </g>
<!-- fvs_lift&#45;&gt;open_rec_fvs --> <!-- fvs_lift&#45;&gt;open_rec_fvs -->
<g id="edge2" class="edge"> <g id="edge2" class="edge">
<title>fvs_lift&#45;&gt;open_rec_fvs</title> <title>fvs_lift&#45;&gt;open_rec_fvs</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M93.13,-161.67C125.07,-153.44 181.37,-138.93 220.26,-128.91"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M93.13,-161.67C125.07,-153.44 181.37,-138.93 220.26,-128.91"/>
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</g> </g>
<!-- lift_0_lc --> <!-- lift_0_lc -->
<g id="node5" class="node"> <g id="node5" class="node">
<title>lift_0_lc</title> <title>lift_0_lc</title>
<g id="a_node5"><a xlink:title="lift_0_lc theory/Binding.v proved"> <g id="a_node5"><a xlink:title="lift_0_lc theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-268" rx="28.74" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-268" rx="28.74" ry="18"/>
<text text-anchor="middle" x="263.61" y="-265.8" font-family="Inter" font-size="9.00" fill="#000000">lift_0_lc</text> <text text-anchor="middle" x="263.61" y="-265.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">lift_0_lc</text>
</a> </a>
</g> </g>
</g> </g>
@@ -89,38 +88,38 @@
<g id="node13" class="node"> <g id="node13" class="node">
<title>subst_fvar_self</title> <title>subst_fvar_self</title>
<g id="a_node13"><a xlink:title="subst_fvar_self theory/Binding.v proved"> <g id="a_node13"><a xlink:title="subst_fvar_self theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="442.35" cy="-268" rx="47.84" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="442.35" cy="-268" rx="47.84" ry="18"/>
<text text-anchor="middle" x="442.35" y="-265.8" font-family="Inter" font-size="9.00" fill="#000000">subst_fvar_self</text> <text text-anchor="middle" x="442.35" y="-265.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_fvar_self</text>
</a> </a>
</g> </g>
</g> </g>
<!-- lift_0_lc&#45;&gt;subst_fvar_self --> <!-- lift_0_lc&#45;&gt;subst_fvar_self -->
<g id="edge6" class="edge"> <g id="edge6" class="edge">
<title>lift_0_lc&#45;&gt;subst_fvar_self</title> <title>lift_0_lc&#45;&gt;subst_fvar_self</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M292.61,-268C318.16,-268 356.61,-268 388.01,-268"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M292.61,-268C318.16,-268 356.61,-268 388.01,-268"/>
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</g> </g>
<!-- lift_lc --> <!-- lift_lc -->
<g id="node6" class="node"> <g id="node6" class="node">
<title>lift_lc</title> <title>lift_lc</title>
<g id="a_node6"><a xlink:title="lift_lc theory/Binding.v proved"> <g id="a_node6"><a xlink:title="lift_lc theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="67.55" cy="-268" rx="27" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="67.55" cy="-268" rx="27" ry="18"/>
<text text-anchor="middle" x="67.55" y="-265.8" font-family="Inter" font-size="9.00" fill="#000000">lift_lc</text> <text text-anchor="middle" x="67.55" y="-265.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">lift_lc</text>
</a> </a>
</g> </g>
</g> </g>
<!-- lift_lc&#45;&gt;lift_0_lc --> <!-- lift_lc&#45;&gt;lift_0_lc -->
<g id="edge1" class="edge"> <g id="edge1" class="edge">
<title>lift_lc&#45;&gt;lift_0_lc</title> <title>lift_lc&#45;&gt;lift_0_lc</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M94.72,-268C129.24,-268 190.08,-268 228.27,-268"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M94.72,-268C129.24,-268 190.08,-268 228.27,-268"/>
<polygon fill="#000000" stroke="#000000" stroke-width="0.8" points="228.66,-270.1 234.66,-268 228.66,-265.9 228.66,-270.1"/> <polygon fill="#8f9780" stroke="#8f9780" stroke-width="0.8" points="228.66,-270.1 234.66,-268 228.66,-265.9 228.66,-270.1"/>
</g> </g>
<!-- open_close --> <!-- open_close -->
<g id="node7" class="node"> <g id="node7" class="node">
<title>open_close</title> <title>open_close</title>
<g id="a_node7"><a xlink:title="open_close theory/Binding.v proved"> <g id="a_node7"><a xlink:title="open_close theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-68" rx="38.21" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-68" rx="38.21" ry="18"/>
<text text-anchor="middle" x="263.61" y="-65.8" font-family="Inter" font-size="9.00" fill="#000000">open_close</text> <text text-anchor="middle" x="263.61" y="-65.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_close</text>
</a> </a>
</g> </g>
</g> </g>
@@ -128,50 +127,50 @@
<g id="node8" class="node"> <g id="node8" class="node">
<title>open_rec_bvar</title> <title>open_rec_bvar</title>
<g id="a_node8"><a xlink:title="open_rec_bvar theory/Binding.v proved"> <g id="a_node8"><a xlink:title="open_rec_bvar theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="67.55" cy="-68" rx="47.84" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="67.55" cy="-68" rx="47.84" ry="18"/>
<text text-anchor="middle" x="67.55" y="-65.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_bvar</text> <text text-anchor="middle" x="67.55" y="-65.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_bvar</text>
</a> </a>
</g> </g>
</g> </g>
<!-- open_rec_bvar&#45;&gt;open_close --> <!-- open_rec_bvar&#45;&gt;open_close -->
<g id="edge5" class="edge"> <g id="edge5" class="edge">
<title>open_rec_bvar&#45;&gt;open_close</title> <title>open_rec_bvar&#45;&gt;open_close</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M115.53,-68C147.18,-68 188.62,-68 219.44,-68"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M115.53,-68C147.18,-68 188.62,-68 219.44,-68"/>
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<!-- open_rec_bvar&#45;&gt;open_rec_fvs --> <!-- open_rec_bvar&#45;&gt;open_rec_fvs -->
<g id="edge3" class="edge"> <g id="edge3" class="edge">
<title>open_rec_bvar&#45;&gt;open_rec_fvs</title> <title>open_rec_bvar&#45;&gt;open_rec_fvs</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M107.82,-78.12C140.45,-86.53 186.79,-98.47 220.25,-107.09"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M107.82,-78.12C140.45,-86.53 186.79,-98.47 220.25,-107.09"/>
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<!-- open_rec_bvar_neq --> <!-- open_rec_bvar_neq -->
<g id="node9" class="node"> <g id="node9" class="node">
<title>open_rec_bvar_neq</title> <title>open_rec_bvar_neq</title>
<g id="a_node9"><a xlink:title="open_rec_bvar_neq theory/Binding.v proved"> <g id="a_node9"><a xlink:title="open_rec_bvar_neq theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="67.55" cy="-118" rx="60.09" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="67.55" cy="-118" rx="60.09" ry="18"/>
<text text-anchor="middle" x="67.55" y="-115.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_bvar_neq</text> <text text-anchor="middle" x="67.55" y="-115.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_bvar_neq</text>
</a> </a>
</g> </g>
</g> </g>
<!-- open_rec_bvar_neq&#45;&gt;open_rec_fvs --> <!-- open_rec_bvar_neq&#45;&gt;open_rec_fvs -->
<g id="edge4" class="edge"> <g id="edge4" class="edge">
<title>open_rec_bvar_neq&#45;&gt;open_rec_fvs</title> <title>open_rec_bvar_neq&#45;&gt;open_rec_fvs</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M127.83,-118C155.48,-118 187.99,-118 214.14,-118"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M127.83,-118C155.48,-118 187.99,-118 214.14,-118"/>
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<!-- open_rec_fvs&#45;&gt;subst_fvs --> <!-- open_rec_fvs&#45;&gt;subst_fvs -->
<g id="edge8" class="edge"> <g id="edge8" class="edge">
<title>open_rec_fvs&#45;&gt;subst_fvs</title> <title>open_rec_fvs&#45;&gt;subst_fvs</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M304.71,-123.67C334.28,-127.86 374.26,-133.51 403.32,-137.62"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M304.71,-123.67C334.28,-127.86 374.26,-133.51 403.32,-137.62"/>
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<!-- open_rec_occurs_false --> <!-- open_rec_occurs_false -->
<g id="node11" class="node"> <g id="node11" class="node">
<title>open_rec_occurs_false</title> <title>open_rec_occurs_false</title>
<g id="a_node11"><a xlink:title="open_rec_occurs_false theory/Binding.v proved"> <g id="a_node11"><a xlink:title="open_rec_occurs_false theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="67.55" cy="-318" rx="67.6" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="67.55" cy="-318" rx="67.6" ry="18"/>
<text text-anchor="middle" x="67.55" y="-315.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_occurs_false</text> <text text-anchor="middle" x="67.55" y="-315.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_occurs_false</text>
</a> </a>
</g> </g>
</g> </g>
@@ -179,8 +178,8 @@
<g id="node12" class="node"> <g id="node12" class="node">
<title>subst_fvar_other</title> <title>subst_fvar_other</title>
<g id="a_node12"><a xlink:title="subst_fvar_other theory/Binding.v proved"> <g id="a_node12"><a xlink:title="subst_fvar_other theory/Binding.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="67.55" cy="-368" rx="53.23" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="67.55" cy="-368" rx="53.23" ry="18"/>
<text text-anchor="middle" x="67.55" y="-365.8" font-family="Inter" font-size="9.00" fill="#000000">subst_fvar_other</text> <text text-anchor="middle" x="67.55" y="-365.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_fvar_other</text>
</a> </a>
</g> </g>
</g> </g>
@@ -188,8 +187,8 @@
<g id="node15" class="node"> <g id="node15" class="node">
<title>at_ctx_comp</title> <title>at_ctx_comp</title>
<g id="a_node15"><a xlink:title="at_ctx_comp theory/Reduction.v proved"> <g id="a_node15"><a xlink:title="at_ctx_comp theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-618" rx="42.95" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-618" rx="42.95" ry="18"/>
<text text-anchor="middle" x="263.61" y="-615.8" font-family="Inter" font-size="9.00" fill="#000000">at_ctx_comp</text> <text text-anchor="middle" x="263.61" y="-615.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">at_ctx_comp</text>
</a> </a>
</g> </g>
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@@ -197,23 +196,23 @@
<g id="node29" class="node"> <g id="node29" class="node">
<title>steps_complete</title> <title>steps_complete</title>
<g id="a_node29"><a xlink:title="steps_complete theory/Reduction.v proved"> <g id="a_node29"><a xlink:title="steps_complete theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="442.35" cy="-518" rx="50.46" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="442.35" cy="-518" rx="50.46" ry="18"/>
<text text-anchor="middle" x="442.35" y="-515.8" font-family="Inter" font-size="9.00" fill="#000000">steps_complete</text> <text text-anchor="middle" x="442.35" y="-515.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">steps_complete</text>
</a> </a>
</g> </g>
</g> </g>
<!-- at_ctx_comp&#45;&gt;steps_complete --> <!-- at_ctx_comp&#45;&gt;steps_complete -->
<g id="edge15" class="edge"> <g id="edge15" class="edge">
<title>at_ctx_comp&#45;&gt;steps_complete</title> <title>at_ctx_comp&#45;&gt;steps_complete</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M295.13,-605.79C311,-599.45 327.12,-593 327.12,-593 327.12,-593 392.12,-543 392.12,-543 392.12,-543 398.81,-539.6 407.26,-535.31"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M295.13,-605.79C311,-599.45 327.12,-593 327.12,-593 327.12,-593 392.12,-543 392.12,-543 392.12,-543 398.81,-539.6 407.26,-535.31"/>
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<!-- has_red_f --> <!-- has_red_f -->
<g id="node16" class="node"> <g id="node16" class="node">
<title>has_red_f</title> <title>has_red_f</title>
<g id="a_node16"><a xlink:title="has_red_f theory/Reduction.v proved"> <g id="a_node16"><a xlink:title="has_red_f theory/Reduction.v proved">
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<text text-anchor="middle" x="442.35" y="-565.8" font-family="Inter" font-size="9.00" fill="#000000">has_red_f</text> <text text-anchor="middle" x="442.35" y="-565.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">has_red_f</text>
</a> </a>
</g> </g>
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@@ -221,38 +220,38 @@
<g id="node17" class="node"> <g id="node17" class="node">
<title>has_red_spec</title> <title>has_red_spec</title>
<g id="a_node17"><a xlink:title="has_red_spec theory/Reduction.v proved"> <g id="a_node17"><a xlink:title="has_red_spec theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="614.16" cy="-518" rx="44.41" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="614.16" cy="-518" rx="44.41" ry="18"/>
<text text-anchor="middle" x="614.16" y="-515.8" font-family="Inter" font-size="9.00" fill="#000000">has_red_spec</text> <text text-anchor="middle" x="614.16" y="-515.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">has_red_spec</text>
</a> </a>
</g> </g>
</g> </g>
<!-- has_red_f&#45;&gt;has_red_spec --> <!-- has_red_f&#45;&gt;has_red_spec -->
<g id="edge20" class="edge"> <g id="edge20" class="edge">
<title>has_red_f&#45;&gt;has_red_spec</title> <title>has_red_f&#45;&gt;has_red_spec</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M472.54,-559.4C499.83,-551.37 540.87,-539.28 571.58,-530.24"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M472.54,-559.4C499.83,-551.37 540.87,-539.28 571.58,-530.24"/>
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</g> </g>
<!-- red1_dec --> <!-- red1_dec -->
<g id="node25" class="node"> <g id="node25" class="node">
<title>red1_dec</title> <title>red1_dec</title>
<g id="a_node25"><a xlink:title="red1_dec theory/Reduction.v proved"> <g id="a_node25"><a xlink:title="red1_dec theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="783.08" cy="-518" rx="34.13" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="783.08" cy="-518" rx="34.13" ry="18"/>
<text text-anchor="middle" x="783.08" y="-515.8" font-family="Inter" font-size="9.00" fill="#000000">red1_dec</text> <text text-anchor="middle" x="783.08" y="-515.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">red1_dec</text>
</a> </a>
</g> </g>
</g> </g>
<!-- has_red_spec&#45;&gt;red1_dec --> <!-- has_red_spec&#45;&gt;red1_dec -->
<g id="edge23" class="edge"> <g id="edge23" class="edge">
<title>has_red_spec&#45;&gt;red1_dec</title> <title>has_red_spec&#45;&gt;red1_dec</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M659.01,-518C684.93,-518 717.47,-518 742.58,-518"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M659.01,-518C684.93,-518 717.47,-518 742.58,-518"/>
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</g> </g>
<!-- nf_dec --> <!-- nf_dec -->
<g id="node18" class="node"> <g id="node18" class="node">
<title>nf_dec</title> <title>nf_dec</title>
<g id="a_node18"><a xlink:title="nf_dec theory/Reduction.v proved"> <g id="a_node18"><a xlink:title="nf_dec theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="953.16" cy="-475" rx="27.27" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="953.16" cy="-475" rx="27.27" ry="18"/>
<text text-anchor="middle" x="953.16" y="-472.8" font-family="Inter" font-size="9.00" fill="#000000">nf_dec</text> <text text-anchor="middle" x="953.16" y="-472.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">nf_dec</text>
</a> </a>
</g> </g>
</g> </g>
@@ -260,53 +259,53 @@
<g id="node19" class="node"> <g id="node19" class="node">
<title>nf_iff_steps_nil</title> <title>nf_iff_steps_nil</title>
<g id="a_node19"><a xlink:title="nf_iff_steps_nil theory/Reduction.v proved"> <g id="a_node19"><a xlink:title="nf_iff_steps_nil theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="783.08" cy="-450" rx="47.19" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="783.08" cy="-450" rx="47.19" ry="18"/>
<text text-anchor="middle" x="783.08" y="-447.8" font-family="Inter" font-size="9.00" fill="#000000">nf_iff_steps_nil</text> <text text-anchor="middle" x="783.08" y="-447.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">nf_iff_steps_nil</text>
</a> </a>
</g> </g>
</g> </g>
<!-- nf_iff_steps_nil&#45;&gt;nf_dec --> <!-- nf_iff_steps_nil&#45;&gt;nf_dec -->
<g id="edge27" class="edge"> <g id="edge27" class="edge">
<title>nf_iff_steps_nil&#45;&gt;nf_dec</title> <title>nf_iff_steps_nil&#45;&gt;nf_dec</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M827.36,-456.44C856.36,-460.75 893.89,-466.33 920.2,-470.25"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M827.36,-456.44C856.36,-460.75 893.89,-466.33 920.2,-470.25"/>
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<!-- normal_form_iff_nf --> <!-- normal_form_iff_nf -->
<g id="node20" class="node"> <g id="node20" class="node">
<title>normal_form_iff_nf</title> <title>normal_form_iff_nf</title>
<g id="a_node20"><a xlink:title="normal_form_iff_nf theory/Reduction.v proved"> <g id="a_node20"><a xlink:title="normal_form_iff_nf theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="953.16" cy="-425" rx="57.97" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="953.16" cy="-425" rx="57.97" ry="18"/>
<text text-anchor="middle" x="953.16" y="-422.8" font-family="Inter" font-size="9.00" fill="#000000">normal_form_iff_nf</text> <text text-anchor="middle" x="953.16" y="-422.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">normal_form_iff_nf</text>
</a> </a>
</g> </g>
</g> </g>
<!-- nf_iff_steps_nil&#45;&gt;normal_form_iff_nf --> <!-- nf_iff_steps_nil&#45;&gt;normal_form_iff_nf -->
<g id="edge26" class="edge"> <g id="edge26" class="edge">
<title>nf_iff_steps_nil&#45;&gt;normal_form_iff_nf</title> <title>nf_iff_steps_nil&#45;&gt;normal_form_iff_nf</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M827.36,-443.56C847.81,-440.52 872.51,-436.85 894.52,-433.57"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M827.36,-443.56C847.81,-440.52 872.51,-436.85 894.52,-433.57"/>
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<!-- plug_comp --> <!-- plug_comp -->
<g id="node21" class="node"> <g id="node21" class="node">
<title>plug_comp</title> <title>plug_comp</title>
<g id="a_node21"><a xlink:title="plug_comp theory/Reduction.v proved"> <g id="a_node21"><a xlink:title="plug_comp theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-568" rx="38.87" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-568" rx="38.87" ry="18"/>
<text text-anchor="middle" x="263.61" y="-565.8" font-family="Inter" font-size="9.00" fill="#000000">plug_comp</text> <text text-anchor="middle" x="263.61" y="-565.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">plug_comp</text>
</a> </a>
</g> </g>
</g> </g>
<!-- plug_comp&#45;&gt;steps_complete --> <!-- plug_comp&#45;&gt;steps_complete -->
<g id="edge16" class="edge"> <g id="edge16" class="edge">
<title>plug_comp&#45;&gt;steps_complete</title> <title>plug_comp&#45;&gt;steps_complete</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M297.02,-558.83C324.87,-550.95 365.29,-539.52 396.28,-530.75"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M297.02,-558.83C324.87,-550.95 365.29,-539.52 396.28,-530.75"/>
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</g> </g>
<!-- positions_at --> <!-- positions_at -->
<g id="node22" class="node"> <g id="node22" class="node">
<title>positions_at</title> <title>positions_at</title>
<g id="a_node22"><a xlink:title="positions_at theory/Reduction.v proved"> <g id="a_node22"><a xlink:title="positions_at theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-368" rx="40.33" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-368" rx="40.33" ry="18"/>
<text text-anchor="middle" x="263.61" y="-365.8" font-family="Inter" font-size="9.00" fill="#000000">positions_at</text> <text text-anchor="middle" x="263.61" y="-365.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">positions_at</text>
</a> </a>
</g> </g>
</g> </g>
@@ -314,38 +313,38 @@
<g id="node30" class="node"> <g id="node30" class="node">
<title>steps_sound</title> <title>steps_sound</title>
<g id="a_node30"><a xlink:title="steps_sound theory/Reduction.v proved"> <g id="a_node30"><a xlink:title="steps_sound theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="442.35" cy="-421" rx="42.29" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="442.35" cy="-421" rx="42.29" ry="18"/>
<text text-anchor="middle" x="442.35" y="-418.8" font-family="Inter" font-size="9.00" fill="#000000">steps_sound</text> <text text-anchor="middle" x="442.35" y="-418.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">steps_sound</text>
</a> </a>
</g> </g>
</g> </g>
<!-- positions_at&#45;&gt;steps_sound --> <!-- positions_at&#45;&gt;steps_sound -->
<g id="edge11" class="edge"> <g id="edge11" class="edge">
<title>positions_at&#45;&gt;steps_sound</title> <title>positions_at&#45;&gt;steps_sound</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M297.85,-377.97C327.19,-386.77 370.04,-399.62 401.27,-408.98"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M297.85,-377.97C327.19,-386.77 370.04,-399.62 401.27,-408.98"/>
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<!-- positions_comp --> <!-- positions_comp -->
<g id="node23" class="node"> <g id="node23" class="node">
<title>positions_comp</title> <title>positions_comp</title>
<g id="a_node23"><a xlink:title="positions_comp theory/Reduction.v proved"> <g id="a_node23"><a xlink:title="positions_comp theory/Reduction.v proved">
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<text text-anchor="middle" x="263.61" y="-515.8" font-family="Inter" font-size="9.00" fill="#000000">positions_comp</text> <text text-anchor="middle" x="263.61" y="-515.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">positions_comp</text>
</a> </a>
</g> </g>
</g> </g>
<!-- positions_comp&#45;&gt;steps_complete --> <!-- positions_comp&#45;&gt;steps_complete -->
<g id="edge17" class="edge"> <g id="edge17" class="edge">
<title>positions_comp&#45;&gt;steps_complete</title> <title>positions_comp&#45;&gt;steps_complete</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M313.37,-518C335.79,-518 362.49,-518 385.69,-518"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M313.37,-518C335.79,-518 362.49,-518 385.69,-518"/>
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<!-- positions_hole --> <!-- positions_hole -->
<g id="node24" class="node"> <g id="node24" class="node">
<title>positions_hole</title> <title>positions_hole</title>
<g id="a_node24"><a xlink:title="positions_hole theory/Reduction.v proved"> <g id="a_node24"><a xlink:title="positions_hole theory/Reduction.v proved">
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<text text-anchor="middle" x="67.55" y="-665.8" font-family="Inter" font-size="9.00" fill="#000000">positions_hole</text> <text text-anchor="middle" x="67.55" y="-665.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">positions_hole</text>
</a> </a>
</g> </g>
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@@ -353,121 +352,121 @@
<g id="node27" class="node"> <g id="node27" class="node">
<title>root_steps_in_steps</title> <title>root_steps_in_steps</title>
<g id="a_node27"><a xlink:title="root_steps_in_steps theory/Reduction.v proved"> <g id="a_node27"><a xlink:title="root_steps_in_steps theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-668" rx="60.09" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-668" rx="60.09" ry="18"/>
<text text-anchor="middle" x="263.61" y="-665.8" font-family="Inter" font-size="9.00" fill="#000000">root_steps_in_steps</text> <text text-anchor="middle" x="263.61" y="-665.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">root_steps_in_steps</text>
</a> </a>
</g> </g>
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<!-- positions_hole&#45;&gt;root_steps_in_steps --> <!-- positions_hole&#45;&gt;root_steps_in_steps -->
<g id="edge14" class="edge"> <g id="edge14" class="edge">
<title>positions_hole&#45;&gt;root_steps_in_steps</title> <title>positions_hole&#45;&gt;root_steps_in_steps</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M114.05,-668C138.84,-668 169.94,-668 197.28,-668"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M114.05,-668C138.84,-668 169.94,-668 197.28,-668"/>
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<g id="node26" class="node"> <g id="node26" class="node">
<title>root_steps_complete</title> <title>root_steps_complete</title>
<g id="a_node26"><a xlink:title="root_steps_complete theory/Reduction.v proved"> <g id="a_node26"><a xlink:title="root_steps_complete theory/Reduction.v proved">
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<text text-anchor="middle" x="263.61" y="-465.8" font-family="Inter" font-size="9.00" fill="#000000">root_steps_complete</text> <text text-anchor="middle" x="263.61" y="-465.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">root_steps_complete</text>
</a> </a>
</g> </g>
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<!-- root_steps_complete&#45;&gt;steps_complete --> <!-- root_steps_complete&#45;&gt;steps_complete -->
<g id="edge18" class="edge"> <g id="edge18" class="edge">
<title>root_steps_complete&#45;&gt;steps_complete</title> <title>root_steps_complete&#45;&gt;steps_complete</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M309.21,-480.62C335.92,-488.17 369.78,-497.75 396.53,-505.32"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M309.21,-480.62C335.92,-488.17 369.78,-497.75 396.53,-505.32"/>
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<!-- root_steps_in_steps&#45;&gt;steps_complete --> <!-- root_steps_in_steps&#45;&gt;steps_complete -->
<g id="edge19" class="edge"> <g id="edge19" class="edge">
<title>root_steps_in_steps&#45;&gt;steps_complete</title> <title>root_steps_in_steps&#45;&gt;steps_complete</title>
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<!-- root_steps_sound --> <!-- root_steps_sound -->
<g id="node28" class="node"> <g id="node28" class="node">
<title>root_steps_sound</title> <title>root_steps_sound</title>
<g id="a_node28"><a xlink:title="root_steps_sound theory/Reduction.v proved"> <g id="a_node28"><a xlink:title="root_steps_sound theory/Reduction.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="263.61" cy="-418" rx="54.7" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="263.61" cy="-418" rx="54.7" ry="18"/>
<text text-anchor="middle" x="263.61" y="-415.8" font-family="Inter" font-size="9.00" fill="#000000">root_steps_sound</text> <text text-anchor="middle" x="263.61" y="-415.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">root_steps_sound</text>
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<!-- root_steps_sound&#45;&gt;steps_sound --> <!-- root_steps_sound&#45;&gt;steps_sound -->
<g id="edge12" class="edge"> <g id="edge12" class="edge">
<title>root_steps_sound&#45;&gt;steps_sound</title> <title>root_steps_sound&#45;&gt;steps_sound</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M318.6,-418.92C342.64,-419.32 370.7,-419.8 393.92,-420.2"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M318.6,-418.92C342.64,-419.32 370.7,-419.8 393.92,-420.2"/>
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<!-- steps_complete&#45;&gt;has_red_spec --> <!-- steps_complete&#45;&gt;has_red_spec -->
<g id="edge21" class="edge"> <g id="edge21" class="edge">
<title>steps_complete&#45;&gt;has_red_spec</title> <title>steps_complete&#45;&gt;has_red_spec</title>
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<!-- steps_complete&#45;&gt;nf_iff_steps_nil --> <!-- steps_complete&#45;&gt;nf_iff_steps_nil -->
<g id="edge24" class="edge"> <g id="edge24" class="edge">
<title>steps_complete&#45;&gt;nf_iff_steps_nil</title> <title>steps_complete&#45;&gt;nf_iff_steps_nil</title>
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red1r_fv [label="red1r_fv", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="red1r_fv theory/Metatheory.v proved"]; red1r_fv [label="red1r_fv", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="red1r_fv theory/Metatheory.v proved"];
zdecs_nonempty [label="zdecs_nonempty", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="zdecs_nonempty theory/Metatheory.v proved"]; zdecs_nonempty [label="zdecs_nonempty", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="zdecs_nonempty theory/Metatheory.v proved"];
check_all_true [label="check_all_true", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="check_all_true theory/Random.v proved"]; check_all_true [label="check_all_true", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="check_all_true theory/Random.v proved"];
check_term_true [label="check_term_true", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="check_term_true theory/Random.v proved"]; check_term_true [label="check_term_true", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="check_term_true theory/Random.v proved"];
gen_complete [label="gen_complete", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="gen_complete theory/Random.v proved"]; gen_complete [label="gen_complete", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="gen_complete theory/Random.v proved"];
gen_fv_preserved [label="gen_fv_preserved", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="gen_fv_preserved theory/Random.v proved"]; gen_fv_preserved [label="gen_fv_preserved", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="gen_fv_preserved theory/Random.v proved"];
gen_list_length [label="gen_list_length", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="gen_list_length theory/Random.v proved"]; gen_list_length [label="gen_list_length", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="gen_list_length theory/Random.v proved"];
gen_sound [label="gen_sound", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="gen_sound theory/Random.v proved"]; gen_sound [label="gen_sound", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="gen_sound theory/Random.v proved"];
close_rec_app [label="close_rec_app", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="close_rec_app theory/Substitution.v proved"]; close_rec_app [label="close_rec_app", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="close_rec_app theory/Substitution.v proved"];
close_rec_esub [label="close_rec_esub", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="close_rec_esub theory/Substitution.v proved"]; close_rec_esub [label="close_rec_esub", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="close_rec_esub theory/Substitution.v proved"];
close_rec_lam [label="close_rec_lam", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="close_rec_lam theory/Substitution.v proved"]; close_rec_lam [label="close_rec_lam", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="close_rec_lam theory/Substitution.v proved"];
open_rec_app [label="open_rec_app", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_app theory/Substitution.v proved"]; open_rec_app [label="open_rec_app", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_app theory/Substitution.v proved"];
open_rec_esub [label="open_rec_esub", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_esub theory/Substitution.v proved"]; open_rec_esub [label="open_rec_esub", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_esub theory/Substitution.v proved"];
open_rec_lam [label="open_rec_lam", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_lam theory/Substitution.v proved"]; open_rec_lam [label="open_rec_lam", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_lam theory/Substitution.v proved"];
open_rec_lc [label="open_rec_lc", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_lc theory/Substitution.v proved"]; open_rec_lc [label="open_rec_lc", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_lc theory/Substitution.v proved"];
open_rec_lc_atom [label="open_rec_lc_atom", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="open_rec_lc_atom theory/Substitution.v proved"]; open_rec_lc_atom [label="open_rec_lc_atom", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="open_rec_lc_atom theory/Substitution.v proved"];
subst_app [label="subst_app", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_app theory/Substitution.v proved"]; subst_app [label="subst_app", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_app theory/Substitution.v proved"];
subst_esub [label="subst_esub", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_esub theory/Substitution.v proved"]; subst_esub [label="subst_esub", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_esub theory/Substitution.v proved"];
subst_lam [label="subst_lam", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_lam theory/Substitution.v proved"]; subst_lam [label="subst_lam", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_lam theory/Substitution.v proved"];
subst_lc_self [label="subst_lc_self", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_lc_self theory/Substitution.v proved"]; subst_lc_self [label="subst_lc_self", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_lc_self theory/Substitution.v proved"];
subst_notin [label="subst_notin", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_notin theory/Substitution.v proved"]; subst_notin [label="subst_notin", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_notin theory/Substitution.v proved"];
subst_other [label="subst_other", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subst_other theory/Substitution.v proved"]; subst_other [label="subst_other", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subst_other theory/Substitution.v proved"];
corpus_complete [label="corpus_complete", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="corpus_complete theory/Tests.v proved"]; corpus_complete [label="corpus_complete", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="corpus_complete theory/Tests.v proved"];
corpus_decides [label="corpus_decides", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="corpus_decides theory/Tests.v proved"]; corpus_decides [label="corpus_decides", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="corpus_decides theory/Tests.v proved"];
corpus_fv_preserved [label="corpus_fv_preserved", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="corpus_fv_preserved theory/Tests.v proved"]; corpus_fv_preserved [label="corpus_fv_preserved", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="corpus_fv_preserved theory/Tests.v proved"];
corpus_sound [label="corpus_sound", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="corpus_sound theory/Tests.v proved"]; corpus_sound [label="corpus_sound", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="corpus_sound theory/Tests.v proved"];
in_comb -> size_all_terms; in_comb -> size_all_terms;
pow2_pos -> size_all_terms; pow2_pos -> size_all_terms;
check_all_true -> enumerate_check; check_all_true -> enumerate_check;
graphs/dependency-M2.png
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graphs/dependency-M2.svg
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<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 1796)"> <g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 1796)">
<title>deps</title> <title>deps</title>
<polygon fill="#ffffff" stroke="transparent" points="-4,4 -4,-1796 1440.74,-1796 1440.74,4 -4,4"/> <text text-anchor="start" x="588.87" y="-1779.4" font-family="Inter" font-weight="bold" font-size="12.00" fill="#c9d1bb">Theorem dependencies M2, 53 results</text>
<text text-anchor="start" x="588.87" y="-1779.4" font-family="Inter" font-weight="bold" font-size="12.00" fill="#000000">Theorem dependencies M2, 53 results</text>
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<title>close_rec_notin</title> <title>close_rec_notin</title>
<g id="a_node1"><a xlink:title="close_rec_notin theory/Binding.v proved"> <g id="a_node1"><a xlink:title="close_rec_notin theory/Binding.v proved">
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<text text-anchor="middle" x="73.5" y="-300.8" font-family="Inter" font-size="9.00" fill="#000000">close_rec_notin\n(M1)</text> <text text-anchor="middle" x="73.5" y="-300.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">close_rec_notin\n(M1)</text>
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@@ -23,23 +22,23 @@
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<title>subst_notin</title> <title>subst_notin</title>
<g id="a_node58"><a xlink:title="subst_notin theory/Substitution.v proved"> <g id="a_node58"><a xlink:title="subst_notin theory/Substitution.v proved">
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<g id="edge32" class="edge"> <g id="edge32" class="edge">
<title>close_rec_notin&#45;&gt;subst_notin</title> <title>close_rec_notin&#45;&gt;subst_notin</title>
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<g id="node2" class="node"> <g id="node2" class="node">
<title>fvs_lift</title> <title>fvs_lift</title>
<g id="a_node2"><a xlink:title="fvs_lift theory/Binding.v proved"> <g id="a_node2"><a xlink:title="fvs_lift theory/Binding.v proved">
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<text text-anchor="middle" x="73.5" y="-350.8" font-family="Inter" font-size="9.00" fill="#000000">fvs_lift\n(M1)</text> <text text-anchor="middle" x="73.5" y="-350.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">fvs_lift\n(M1)</text>
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<title>fvs_zplug_lift</title> <title>fvs_zplug_lift</title>
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<text text-anchor="middle" x="282.44" y="-350.8" font-family="Inter" font-size="9.00" fill="#000000">fvs_zplug_lift</text> <text text-anchor="middle" x="282.44" y="-350.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">fvs_zplug_lift</text>
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<g id="edge18" class="edge"> <g id="edge18" class="edge">
<title>fvs_lift&#45;&gt;fvs_zplug_lift</title> <title>fvs_lift&#45;&gt;fvs_zplug_lift</title>
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@@ -71,38 +70,38 @@
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<title>check_term_true</title> <title>check_term_true</title>
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<title>has_red_spec&#45;&gt;check_term_true</title> <title>has_red_spec&#45;&gt;check_term_true</title>
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<g id="a_node61"><a xlink:title="corpus_decides theory/Tests.v proved"> <g id="a_node61"><a xlink:title="corpus_decides theory/Tests.v proved">
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<title>open_rec_occurs_false</title> <title>open_rec_occurs_false</title>
<g id="a_node4"><a xlink:title="open_rec_occurs_false theory/Binding.v proved"> <g id="a_node4"><a xlink:title="open_rec_occurs_false theory/Binding.v proved">
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<text text-anchor="middle" x="73.5" y="-250.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_occurs_false\n(M1)</text> <text text-anchor="middle" x="73.5" y="-250.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_occurs_false\n(M1)</text>
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@@ -110,44 +109,44 @@
<g id="node25" class="node"> <g id="node25" class="node">
<title>full_comp_aux</title> <title>full_comp_aux</title>
<g id="a_node25"><a xlink:title="full_comp_aux theory/Metatheory.v proved"> <g id="a_node25"><a xlink:title="full_comp_aux theory/Metatheory.v proved">
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<text text-anchor="middle" x="474.45" y="-140.8" font-family="Inter" font-size="9.00" fill="#000000">full_comp_aux</text> <text text-anchor="middle" x="474.45" y="-140.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">full_comp_aux</text>
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<!-- open_rec_occurs_false&#45;&gt;full_comp_aux --> <!-- open_rec_occurs_false&#45;&gt;full_comp_aux -->
<g id="edge13" class="edge"> <g id="edge13" class="edge">
<title>open_rec_occurs_false&#45;&gt;full_comp_aux</title> <title>open_rec_occurs_false&#45;&gt;full_comp_aux</title>
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<!-- open_rec_zplug_lift --> <!-- open_rec_zplug_lift -->
<g id="node35" class="node"> <g id="node35" class="node">
<title>open_rec_zplug_lift</title> <title>open_rec_zplug_lift</title>
<g id="a_node35"><a xlink:title="open_rec_zplug_lift theory/Metatheory.v proved"> <g id="a_node35"><a xlink:title="open_rec_zplug_lift theory/Metatheory.v proved">
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<text text-anchor="middle" x="282.44" y="-215.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_zplug_lift</text> <text text-anchor="middle" x="282.44" y="-215.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_zplug_lift</text>
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<title>open_rec_occurs_false&#45;&gt;open_rec_zplug_lift</title> <title>open_rec_occurs_false&#45;&gt;open_rec_zplug_lift</title>
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<g id="edge33" class="edge"> <g id="edge33" class="edge">
<title>open_rec_occurs_false&#45;&gt;subst_notin</title> <title>open_rec_occurs_false&#45;&gt;subst_notin</title>
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<!-- steps_complete --> <!-- steps_complete -->
<g id="node5" class="node"> <g id="node5" class="node">
<title>steps_complete</title> <title>steps_complete</title>
<g id="a_node5"><a xlink:title="steps_complete theory/Reduction.v proved"> <g id="a_node5"><a xlink:title="steps_complete theory/Reduction.v proved">
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<text text-anchor="middle" x="73.5" y="-450.8" font-family="Inter" font-size="9.00" fill="#000000">steps_complete\n(M1)</text> <text text-anchor="middle" x="73.5" y="-450.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">steps_complete\n(M1)</text>
</a> </a>
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@@ -155,53 +154,53 @@
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<title>enumerate_complete</title> <title>enumerate_complete</title>
<g id="a_node17"><a xlink:title="enumerate_complete theory/Enumerate.v proved"> <g id="a_node17"><a xlink:title="enumerate_complete theory/Enumerate.v proved">
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<text text-anchor="middle" x="282.44" y="-500.8" font-family="Inter" font-size="9.00" fill="#000000">enumerate_complete</text> <text text-anchor="middle" x="282.44" y="-500.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">enumerate_complete</text>
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<!-- steps_complete&#45;&gt;enumerate_complete --> <!-- steps_complete&#45;&gt;enumerate_complete -->
<g id="edge5" class="edge"> <g id="edge5" class="edge">
<title>steps_complete&#45;&gt;enumerate_complete</title> <title>steps_complete&#45;&gt;enumerate_complete</title>
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<!-- gen_complete --> <!-- gen_complete -->
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<title>gen_complete</title> <title>gen_complete</title>
<g id="a_node42"><a xlink:title="gen_complete theory/Random.v proved"> <g id="a_node42"><a xlink:title="gen_complete theory/Random.v proved">
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<text text-anchor="middle" x="282.44" y="-450.8" font-family="Inter" font-size="9.00" fill="#000000">gen_complete</text> <text text-anchor="middle" x="282.44" y="-450.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">gen_complete</text>
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<!-- steps_complete&#45;&gt;gen_complete --> <!-- steps_complete&#45;&gt;gen_complete -->
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<title>steps_complete&#45;&gt;gen_complete</title> <title>steps_complete&#45;&gt;gen_complete</title>
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<!-- corpus_complete --> <!-- corpus_complete -->
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<title>corpus_complete</title> <title>corpus_complete</title>
<g id="a_node60"><a xlink:title="corpus_complete theory/Tests.v proved"> <g id="a_node60"><a xlink:title="corpus_complete theory/Tests.v proved">
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<!-- steps_complete&#45;&gt;corpus_complete --> <!-- steps_complete&#45;&gt;corpus_complete -->
<g id="edge38" class="edge"> <g id="edge38" class="edge">
<title>steps_complete&#45;&gt;corpus_complete</title> <title>steps_complete&#45;&gt;corpus_complete</title>
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<!-- steps_sound --> <!-- steps_sound -->
<g id="node6" class="node"> <g id="node6" class="node">
<title>steps_sound</title> <title>steps_sound</title>
<g id="a_node6"><a xlink:title="steps_sound theory/Reduction.v proved"> <g id="a_node6"><a xlink:title="steps_sound theory/Reduction.v proved">
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<text text-anchor="middle" x="73.5" y="-600.8" font-family="Inter" font-size="9.00" fill="#000000">steps_sound\n(M1)</text> <text text-anchor="middle" x="73.5" y="-600.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">steps_sound\n(M1)</text>
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@@ -209,98 +208,98 @@
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<title>enumerate_sound</title> <title>enumerate_sound</title>
<g id="a_node18"><a xlink:title="enumerate_sound theory/Enumerate.v proved"> <g id="a_node18"><a xlink:title="enumerate_sound theory/Enumerate.v proved">
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<text text-anchor="middle" x="282.44" y="-650.8" font-family="Inter" font-size="9.00" fill="#000000">enumerate_sound</text> <text text-anchor="middle" x="282.44" y="-650.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">enumerate_sound</text>
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<!-- steps_sound&#45;&gt;enumerate_sound --> <!-- steps_sound&#45;&gt;enumerate_sound -->
<g id="edge4" class="edge"> <g id="edge4" class="edge">
<title>steps_sound&#45;&gt;enumerate_sound</title> <title>steps_sound&#45;&gt;enumerate_sound</title>
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<!-- gen_sound --> <!-- gen_sound -->
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<title>gen_sound</title> <title>gen_sound</title>
<g id="a_node45"><a xlink:title="gen_sound theory/Random.v proved"> <g id="a_node45"><a xlink:title="gen_sound theory/Random.v proved">
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<text text-anchor="middle" x="282.44" y="-600.8" font-family="Inter" font-size="9.00" fill="#000000">gen_sound</text> <text text-anchor="middle" x="282.44" y="-600.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">gen_sound</text>
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<!-- steps_sound&#45;&gt;gen_sound --> <!-- steps_sound&#45;&gt;gen_sound -->
<g id="edge28" class="edge"> <g id="edge28" class="edge">
<title>steps_sound&#45;&gt;gen_sound</title> <title>steps_sound&#45;&gt;gen_sound</title>
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<g id="node63" class="node"> <g id="node63" class="node">
<title>corpus_sound</title> <title>corpus_sound</title>
<g id="a_node63"><a xlink:title="corpus_sound theory/Tests.v proved"> <g id="a_node63"><a xlink:title="corpus_sound theory/Tests.v proved">
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<text text-anchor="middle" x="282.44" y="-550.8" font-family="Inter" font-size="9.00" fill="#000000">corpus_sound</text> <text text-anchor="middle" x="282.44" y="-550.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">corpus_sound</text>
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<!-- steps_sound&#45;&gt;corpus_sound --> <!-- steps_sound&#45;&gt;corpus_sound -->
<g id="edge37" class="edge"> <g id="edge37" class="edge">
<title>steps_sound&#45;&gt;corpus_sound</title> <title>steps_sound&#45;&gt;corpus_sound</title>
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<!-- steps_sound_red1 --> <!-- steps_sound_red1 -->
<g id="node7" class="node"> <g id="node7" class="node">
<title>steps_sound_red1</title> <title>steps_sound_red1</title>
<g id="a_node7"><a xlink:title="steps_sound_red1 theory/Reduction.v proved"> <g id="a_node7"><a xlink:title="steps_sound_red1 theory/Reduction.v proved">
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<!-- steps_sound_red1&#45;&gt;check_term_true --> <!-- steps_sound_red1&#45;&gt;check_term_true -->
<g id="edge26" class="edge"> <g id="edge26" class="edge">
<title>steps_sound_red1&#45;&gt;check_term_true</title> <title>steps_sound_red1&#45;&gt;check_term_true</title>
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<title>gen_fv_preserved</title> <title>gen_fv_preserved</title>
<g id="a_node43"><a xlink:title="gen_fv_preserved theory/Random.v proved"> <g id="a_node43"><a xlink:title="gen_fv_preserved theory/Random.v proved">
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<text text-anchor="middle" x="1036.54" y="-375.8" font-family="Inter" font-size="9.00" fill="#000000">gen_fv_preserved</text> <text text-anchor="middle" x="1036.54" y="-375.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">gen_fv_preserved</text>
</a> </a>
</g> </g>
</g> </g>
<!-- steps_sound_red1&#45;&gt;gen_fv_preserved --> <!-- steps_sound_red1&#45;&gt;gen_fv_preserved -->
<g id="edge31" class="edge"> <g id="edge31" class="edge">
<title>steps_sound_red1&#45;&gt;gen_fv_preserved</title> <title>steps_sound_red1&#45;&gt;gen_fv_preserved</title>
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<!-- corpus_fv_preserved --> <!-- corpus_fv_preserved -->
<g id="node62" class="node"> <g id="node62" class="node">
<title>corpus_fv_preserved</title> <title>corpus_fv_preserved</title>
<g id="a_node62"><a xlink:title="corpus_fv_preserved theory/Tests.v proved"> <g id="a_node62"><a xlink:title="corpus_fv_preserved theory/Tests.v proved">
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<text text-anchor="middle" x="1036.54" y="-325.8" font-family="Inter" font-size="9.00" fill="#000000">corpus_fv_preserved</text> <text text-anchor="middle" x="1036.54" y="-325.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">corpus_fv_preserved</text>
</a> </a>
</g> </g>
</g> </g>
<!-- steps_sound_red1&#45;&gt;corpus_fv_preserved --> <!-- steps_sound_red1&#45;&gt;corpus_fv_preserved -->
<g id="edge41" class="edge"> <g id="edge41" class="edge">
<title>steps_sound_red1&#45;&gt;corpus_fv_preserved</title> <title>steps_sound_red1&#45;&gt;corpus_fv_preserved</title>
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</g> </g>
<!-- subst_fvar_other --> <!-- subst_fvar_other -->
<g id="node8" class="node"> <g id="node8" class="node">
<title>subst_fvar_other</title> <title>subst_fvar_other</title>
<g id="a_node8"><a xlink:title="subst_fvar_other theory/Binding.v proved"> <g id="a_node8"><a xlink:title="subst_fvar_other theory/Binding.v proved">
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<text text-anchor="middle" x="73.5" y="-700.8" font-family="Inter" font-size="9.00" fill="#000000">subst_fvar_other\n(M1)</text> <text text-anchor="middle" x="73.5" y="-700.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_fvar_other\n(M1)</text>
</a> </a>
</g> </g>
</g> </g>
@@ -308,23 +307,23 @@
<g id="node59" class="node"> <g id="node59" class="node">
<title>subst_other</title> <title>subst_other</title>
<g id="a_node59"><a xlink:title="subst_other theory/Substitution.v proved"> <g id="a_node59"><a xlink:title="subst_other theory/Substitution.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="282.44" cy="-703" rx="40.33" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="282.44" cy="-703" rx="40.33" ry="18"/>
<text text-anchor="middle" x="282.44" y="-700.8" font-family="Inter" font-size="9.00" fill="#000000">subst_other</text> <text text-anchor="middle" x="282.44" y="-700.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_other</text>
</a> </a>
</g> </g>
</g> </g>
<!-- subst_fvar_other&#45;&gt;subst_other --> <!-- subst_fvar_other&#45;&gt;subst_other -->
<g id="edge35" class="edge"> <g id="edge35" class="edge">
<title>subst_fvar_other&#45;&gt;subst_other</title> <title>subst_fvar_other&#45;&gt;subst_other</title>
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</g> </g>
<!-- subst_fvar_self --> <!-- subst_fvar_self -->
<g id="node9" class="node"> <g id="node9" class="node">
<title>subst_fvar_self</title> <title>subst_fvar_self</title>
<g id="a_node9"><a xlink:title="subst_fvar_self theory/Binding.v proved"> <g id="a_node9"><a xlink:title="subst_fvar_self theory/Binding.v proved">
<path fill="#ffffff" stroke="#000000" stroke-width="0.9" stroke-dasharray="5,2" d="M118,-771C118,-771 29,-771 29,-771 23,-771 17,-765 17,-759 17,-759 17,-747 17,-747 17,-741 23,-735 29,-735 29,-735 118,-735 118,-735 124,-735 130,-741 130,-747 130,-747 130,-759 130,-759 130,-765 124,-771 118,-771"/> <path fill="transparent" stroke="#8f9780" stroke-width="0.9" stroke-dasharray="5,2" d="M118,-771C118,-771 29,-771 29,-771 23,-771 17,-765 17,-759 17,-759 17,-747 17,-747 17,-741 23,-735 29,-735 29,-735 118,-735 118,-735 124,-735 130,-741 130,-747 130,-747 130,-759 130,-759 130,-765 124,-771 118,-771"/>
<text text-anchor="middle" x="73.5" y="-750.8" font-family="Inter" font-size="9.00" fill="#000000">subst_fvar_self\n(M1)</text> <text text-anchor="middle" x="73.5" y="-750.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_fvar_self\n(M1)</text>
</a> </a>
</g> </g>
</g> </g>
@@ -332,38 +331,38 @@
<g id="node57" class="node"> <g id="node57" class="node">
<title>subst_lc_self</title> <title>subst_lc_self</title>
<g id="a_node57"><a xlink:title="subst_lc_self theory/Substitution.v proved"> <g id="a_node57"><a xlink:title="subst_lc_self theory/Substitution.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="282.44" cy="-753" rx="42.29" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="282.44" cy="-753" rx="42.29" ry="18"/>
<text text-anchor="middle" x="282.44" y="-750.8" font-family="Inter" font-size="9.00" fill="#000000">subst_lc_self</text> <text text-anchor="middle" x="282.44" y="-750.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_lc_self</text>
</a> </a>
</g> </g>
</g> </g>
<!-- subst_fvar_self&#45;&gt;subst_lc_self --> <!-- subst_fvar_self&#45;&gt;subst_lc_self -->
<g id="edge34" class="edge"> <g id="edge34" class="edge">
<title>subst_fvar_self&#45;&gt;subst_lc_self</title> <title>subst_fvar_self&#45;&gt;subst_lc_self</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M130.23,-753C162.66,-753 203.11,-753 234.01,-753"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M130.23,-753C162.66,-753 203.11,-753 234.01,-753"/>
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</g> </g>
<!-- zdecs_sound --> <!-- zdecs_sound -->
<g id="node10" class="node"> <g id="node10" class="node">
<title>zdecs_sound</title> <title>zdecs_sound</title>
<g id="a_node10"><a xlink:title="zdecs_sound theory/Reduction.v proved"> <g id="a_node10"><a xlink:title="zdecs_sound theory/Reduction.v proved">
<path fill="#ffffff" stroke="#000000" stroke-width="0.9" stroke-dasharray="5,2" d="M322.44,-186C322.44,-186 242.44,-186 242.44,-186 236.44,-186 230.44,-180 230.44,-174 230.44,-174 230.44,-162 230.44,-162 230.44,-156 236.44,-150 242.44,-150 242.44,-150 322.44,-150 322.44,-150 328.44,-150 334.44,-156 334.44,-162 334.44,-162 334.44,-174 334.44,-174 334.44,-180 328.44,-186 322.44,-186"/> <path fill="transparent" stroke="#8f9780" stroke-width="0.9" stroke-dasharray="5,2" d="M322.44,-186C322.44,-186 242.44,-186 242.44,-186 236.44,-186 230.44,-180 230.44,-174 230.44,-174 230.44,-162 230.44,-162 230.44,-156 236.44,-150 242.44,-150 242.44,-150 322.44,-150 322.44,-150 328.44,-150 334.44,-156 334.44,-162 334.44,-162 334.44,-174 334.44,-174 334.44,-180 328.44,-186 322.44,-186"/>
<text text-anchor="middle" x="282.44" y="-165.8" font-family="Inter" font-size="9.00" fill="#000000">zdecs_sound\n(M1)</text> <text text-anchor="middle" x="282.44" y="-165.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">zdecs_sound\n(M1)</text>
</a> </a>
</g> </g>
</g> </g>
<!-- zdecs_sound&#45;&gt;full_comp_aux --> <!-- zdecs_sound&#45;&gt;full_comp_aux -->
<g id="edge16" class="edge"> <g id="edge16" class="edge">
<title>zdecs_sound&#45;&gt;full_comp_aux</title> <title>zdecs_sound&#45;&gt;full_comp_aux</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M334.61,-161.27C362.3,-157.62 396.36,-153.14 423.82,-149.53"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M334.61,-161.27C362.3,-157.62 396.36,-153.14 423.82,-149.53"/>
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<!-- Plus_to_Star --> <!-- Plus_to_Star -->
<g id="node11" class="node"> <g id="node11" class="node">
<title>Plus_to_Star</title> <title>Plus_to_Star</title>
<g id="a_node11"><a xlink:title="Plus_to_Star theory/Closure.v proved"> <g id="a_node11"><a xlink:title="Plus_to_Star theory/Closure.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-803" rx="40.98" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-803" rx="40.98" ry="18"/>
<text text-anchor="middle" x="73.5" y="-800.8" font-family="Inter" font-size="9.00" fill="#000000">Plus_to_Star</text> <text text-anchor="middle" x="73.5" y="-800.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">Plus_to_Star</text>
</a> </a>
</g> </g>
</g> </g>
@@ -371,8 +370,8 @@
<g id="node12" class="node"> <g id="node12" class="node">
<title>Star_red1_context</title> <title>Star_red1_context</title>
<g id="a_node12"><a xlink:title="Star_red1_context theory/Closure.v proved"> <g id="a_node12"><a xlink:title="Star_red1_context theory/Closure.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-853" rx="57.97" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-853" rx="57.97" ry="18"/>
<text text-anchor="middle" x="73.5" y="-850.8" font-family="Inter" font-size="9.00" fill="#000000">Star_red1_context</text> <text text-anchor="middle" x="73.5" y="-850.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">Star_red1_context</text>
</a> </a>
</g> </g>
</g> </g>
@@ -380,8 +379,8 @@
<g id="node13" class="node"> <g id="node13" class="node">
<title>Star_trans</title> <title>Star_trans</title>
<g id="a_node13"><a xlink:title="Star_trans theory/Closure.v proved"> <g id="a_node13"><a xlink:title="Star_trans theory/Closure.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-903" rx="36.25" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-903" rx="36.25" ry="18"/>
<text text-anchor="middle" x="73.5" y="-900.8" font-family="Inter" font-size="9.00" fill="#000000">Star_trans</text> <text text-anchor="middle" x="73.5" y="-900.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">Star_trans</text>
</a> </a>
</g> </g>
</g> </g>
@@ -389,8 +388,8 @@
<g id="node14" class="node"> <g id="node14" class="node">
<title>red1_star</title> <title>red1_star</title>
<g id="a_node14"><a xlink:title="red1_star theory/Closure.v proved"> <g id="a_node14"><a xlink:title="red1_star theory/Closure.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-953" rx="34.13" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-953" rx="34.13" ry="18"/>
<text text-anchor="middle" x="73.5" y="-950.8" font-family="Inter" font-size="9.00" fill="#000000">red1_star</text> <text text-anchor="middle" x="73.5" y="-950.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">red1_star</text>
</a> </a>
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@@ -398,8 +397,8 @@
<g id="node15" class="node"> <g id="node15" class="node">
<title>star_one_trans</title> <title>star_one_trans</title>
<g id="a_node15"><a xlink:title="star_one_trans theory/Closure.v proved"> <g id="a_node15"><a xlink:title="star_one_trans theory/Closure.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-1003" rx="47.84" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-1003" rx="47.84" ry="18"/>
<text text-anchor="middle" x="73.5" y="-1000.8" font-family="Inter" font-size="9.00" fill="#000000">star_one_trans</text> <text text-anchor="middle" x="73.5" y="-1000.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">star_one_trans</text>
</a> </a>
</g> </g>
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@@ -407,8 +406,8 @@
<g id="node16" class="node"> <g id="node16" class="node">
<title>enumerate_check</title> <title>enumerate_check</title>
<g id="a_node16"><a xlink:title="enumerate_check theory/Enumerate.v proved"> <g id="a_node16"><a xlink:title="enumerate_check theory/Enumerate.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="1380.16" cy="-278" rx="56.66" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="1380.16" cy="-278" rx="56.66" ry="18"/>
<text text-anchor="middle" x="1380.16" y="-275.8" font-family="Inter" font-size="9.00" fill="#000000">enumerate_check</text> <text text-anchor="middle" x="1380.16" y="-275.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">enumerate_check</text>
</a> </a>
</g> </g>
</g> </g>
@@ -416,8 +415,8 @@
<g id="node19" class="node"> <g id="node19" class="node">
<title>in_comb</title> <title>in_comb</title>
<g id="a_node19"><a xlink:title="in_comb theory/Enumerate.v proved"> <g id="a_node19"><a xlink:title="in_comb theory/Enumerate.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-1103" rx="31.51" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-1103" rx="31.51" ry="18"/>
<text text-anchor="middle" x="73.5" y="-1100.8" font-family="Inter" font-size="9.00" fill="#000000">in_comb</text> <text text-anchor="middle" x="73.5" y="-1100.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">in_comb</text>
</a> </a>
</g> </g>
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@@ -425,38 +424,38 @@
<g id="node21" class="node"> <g id="node21" class="node">
<title>size_all_terms</title> <title>size_all_terms</title>
<g id="a_node21"><a xlink:title="size_all_terms theory/Enumerate.v proved"> <g id="a_node21"><a xlink:title="size_all_terms theory/Enumerate.v proved">
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<text text-anchor="middle" x="282.44" y="-1075.8" font-family="Inter" font-size="9.00" fill="#000000">size_all_terms</text> <text text-anchor="middle" x="282.44" y="-1075.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">size_all_terms</text>
</a> </a>
</g> </g>
</g> </g>
<!-- in_comb&#45;&gt;size_all_terms --> <!-- in_comb&#45;&gt;size_all_terms -->
<g id="edge1" class="edge"> <g id="edge1" class="edge">
<title>in_comb&#45;&gt;size_all_terms</title> <title>in_comb&#45;&gt;size_all_terms</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M105.03,-1099.31C138.65,-1095.25 193.17,-1088.66 232.7,-1083.89"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M105.03,-1099.31C138.65,-1095.25 193.17,-1088.66 232.7,-1083.89"/>
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<!-- pow2_pos --> <!-- pow2_pos -->
<g id="node20" class="node"> <g id="node20" class="node">
<title>pow2_pos</title> <title>pow2_pos</title>
<g id="a_node20"><a xlink:title="pow2_pos theory/Enumerate.v proved"> <g id="a_node20"><a xlink:title="pow2_pos theory/Enumerate.v proved">
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<text text-anchor="middle" x="73.5" y="-1050.8" font-family="Inter" font-size="9.00" fill="#000000">pow2_pos</text> <text text-anchor="middle" x="73.5" y="-1050.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">pow2_pos</text>
</a> </a>
</g> </g>
</g> </g>
<!-- pow2_pos&#45;&gt;size_all_terms --> <!-- pow2_pos&#45;&gt;size_all_terms -->
<g id="edge2" class="edge"> <g id="edge2" class="edge">
<title>pow2_pos&#45;&gt;size_all_terms</title> <title>pow2_pos&#45;&gt;size_all_terms</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M108.67,-1057.13C142.56,-1061.22 194.8,-1067.53 232.97,-1072.14"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M108.67,-1057.13C142.56,-1061.22 194.8,-1067.53 232.97,-1072.14"/>
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<!-- Plus_red1_context --> <!-- Plus_red1_context -->
<g id="node22" class="node"> <g id="node22" class="node">
<title>Plus_red1_context</title> <title>Plus_red1_context</title>
<g id="a_node22"><a xlink:title="Plus_red1_context theory/Metatheory.v proved"> <g id="a_node22"><a xlink:title="Plus_red1_context theory/Metatheory.v proved">
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<text text-anchor="middle" x="654.03" y="-90.8" font-family="Inter" font-size="9.00" fill="#000000">Plus_red1_context</text> <text text-anchor="middle" x="654.03" y="-90.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">Plus_red1_context</text>
</a> </a>
</g> </g>
</g> </g>
@@ -464,23 +463,23 @@
<g id="node29" class="node"> <g id="node29" class="node">
<title>lemma_2_3_beta_sim</title> <title>lemma_2_3_beta_sim</title>
<g id="a_node29"><a xlink:title="lemma_2_3_beta_sim (section 2.3) theory/Metatheory.v proved"> <g id="a_node29"><a xlink:title="lemma_2_3_beta_sim (section 2.3) theory/Metatheory.v proved">
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</a> </a>
</g> </g>
</g> </g>
<!-- Plus_red1_context&#45;&gt;lemma_2_3_beta_sim --> <!-- Plus_red1_context&#45;&gt;lemma_2_3_beta_sim -->
<g id="edge23" class="edge"> <g id="edge23" class="edge">
<title>Plus_red1_context&#45;&gt;lemma_2_3_beta_sim</title> <title>Plus_red1_context&#45;&gt;lemma_2_3_beta_sim</title>
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</g> </g>
<!-- Plus_step_trans --> <!-- Plus_step_trans -->
<g id="node23" class="node"> <g id="node23" class="node">
<title>Plus_step_trans</title> <title>Plus_step_trans</title>
<g id="a_node23"><a xlink:title="Plus_step_trans theory/Metatheory.v proved"> <g id="a_node23"><a xlink:title="Plus_step_trans theory/Metatheory.v proved">
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<text text-anchor="middle" x="73.5" y="-1150.8" font-family="Inter" font-size="9.00" fill="#000000">Plus_step_trans</text> <text text-anchor="middle" x="73.5" y="-1150.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">Plus_step_trans</text>
</a> </a>
</g> </g>
</g> </g>
@@ -488,8 +487,8 @@
<g id="node24" class="node"> <g id="node24" class="node">
<title>Plus_trans</title> <title>Plus_trans</title>
<g id="a_node24"><a xlink:title="Plus_trans theory/Metatheory.v proved"> <g id="a_node24"><a xlink:title="Plus_trans theory/Metatheory.v proved">
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<text text-anchor="middle" x="73.5" y="-1200.8" font-family="Inter" font-size="9.00" fill="#000000">Plus_trans</text> <text text-anchor="middle" x="73.5" y="-1200.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">Plus_trans</text>
</a> </a>
</g> </g>
</g> </g>
@@ -497,65 +496,65 @@
<g id="node28" class="node"> <g id="node28" class="node">
<title>lemma_2_2_full_comp</title> <title>lemma_2_2_full_comp</title>
<g id="a_node28"><a xlink:title="lemma_2_2_full_comp (section 2.2) theory/Metatheory.v proved"> <g id="a_node28"><a xlink:title="lemma_2_2_full_comp (section 2.2) theory/Metatheory.v proved">
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<text text-anchor="middle" x="654.03" y="-140.8" font-family="Inter" font-size="9.00" fill="#000000">lemma_2_2_full_comp</text> <text text-anchor="middle" x="654.03" y="-140.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">lemma_2_2_full_comp</text>
</a> </a>
</g> </g>
</g> </g>
<!-- full_comp_aux&#45;&gt;lemma_2_2_full_comp --> <!-- full_comp_aux&#45;&gt;lemma_2_2_full_comp -->
<g id="edge17" class="edge"> <g id="edge17" class="edge">
<title>full_comp_aux&#45;&gt;lemma_2_2_full_comp</title> <title>full_comp_aux&#45;&gt;lemma_2_2_full_comp</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M521.65,-143C542.41,-143 567.24,-143 589.7,-143"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M521.65,-143C542.41,-143 567.24,-143 589.7,-143"/>
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</g> </g>
<!-- red1_root_fv --> <!-- red1_root_fv -->
<g id="node37" class="node"> <g id="node37" class="node">
<title>red1_root_fv</title> <title>red1_root_fv</title>
<g id="a_node37"><a xlink:title="red1_root_fv theory/Metatheory.v proved"> <g id="a_node37"><a xlink:title="red1_root_fv theory/Metatheory.v proved">
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<text text-anchor="middle" x="474.45" y="-350.8" font-family="Inter" font-size="9.00" fill="#000000">red1_root_fv</text> <text text-anchor="middle" x="474.45" y="-350.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">red1_root_fv</text>
</a> </a>
</g> </g>
</g> </g>
<!-- fvs_zplug_lift&#45;&gt;red1_root_fv --> <!-- fvs_zplug_lift&#45;&gt;red1_root_fv -->
<g id="edge19" class="edge"> <g id="edge19" class="edge">
<title>fvs_zplug_lift&#45;&gt;red1_root_fv</title> <title>fvs_zplug_lift&#45;&gt;red1_root_fv</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M325.61,-353C355.33,-353 395.18,-353 426.01,-353"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M325.61,-353C355.33,-353 395.18,-353 426.01,-353"/>
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<!-- lemma_2_1_fv_preserved --> <!-- lemma_2_1_fv_preserved -->
<g id="node27" class="node"> <g id="node27" class="node">
<title>lemma_2_1_fv_preserved</title> <title>lemma_2_1_fv_preserved</title>
<g id="a_node27"><a xlink:title="lemma_2_1_fv_preserved (section 2.1) theory/Metatheory.v proved"> <g id="a_node27"><a xlink:title="lemma_2_1_fv_preserved (section 2.1) theory/Metatheory.v proved">
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</a> </a>
</g> </g>
</g> </g>
<!-- lemma_2_1_fv_preserved&#45;&gt;gen_fv_preserved --> <!-- lemma_2_1_fv_preserved&#45;&gt;gen_fv_preserved -->
<g id="edge30" class="edge"> <g id="edge30" class="edge">
<title>lemma_2_1_fv_preserved&#45;&gt;gen_fv_preserved</title> <title>lemma_2_1_fv_preserved&#45;&gt;gen_fv_preserved</title>
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<!-- lemma_2_1_fv_preserved&#45;&gt;corpus_fv_preserved --> <!-- lemma_2_1_fv_preserved&#45;&gt;corpus_fv_preserved -->
<g id="edge40" class="edge"> <g id="edge40" class="edge">
<title>lemma_2_1_fv_preserved&#45;&gt;corpus_fv_preserved</title> <title>lemma_2_1_fv_preserved&#45;&gt;corpus_fv_preserved</title>
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<!-- lemma_2_2_full_comp&#45;&gt;lemma_2_3_beta_sim --> <!-- lemma_2_2_full_comp&#45;&gt;lemma_2_3_beta_sim -->
<g id="edge24" class="edge"> <g id="edge24" class="edge">
<title>lemma_2_2_full_comp&#45;&gt;lemma_2_3_beta_sim</title> <title>lemma_2_2_full_comp&#45;&gt;lemma_2_3_beta_sim</title>
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<!-- occurs_count_false --> <!-- occurs_count_false -->
<g id="node30" class="node"> <g id="node30" class="node">
<title>occurs_count_false</title> <title>occurs_count_false</title>
<g id="a_node30"><a xlink:title="occurs_count_false theory/Metatheory.v proved"> <g id="a_node30"><a xlink:title="occurs_count_false theory/Metatheory.v proved">
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<text text-anchor="middle" x="73.5" y="-115.8" font-family="Inter" font-size="9.00" fill="#000000">occurs_count_false</text> <text text-anchor="middle" x="73.5" y="-115.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">occurs_count_false</text>
</a> </a>
</g> </g>
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@@ -563,23 +562,23 @@
<g id="node33" class="node"> <g id="node33" class="node">
<title>occurs_count_zfill_plug</title> <title>occurs_count_zfill_plug</title>
<g id="a_node33"><a xlink:title="occurs_count_zfill_plug theory/Metatheory.v proved"> <g id="a_node33"><a xlink:title="occurs_count_zfill_plug theory/Metatheory.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="282.44" cy="-118" rx="70.37" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="282.44" cy="-118" rx="70.37" ry="18"/>
<text text-anchor="middle" x="282.44" y="-115.8" font-family="Inter" font-size="9.00" fill="#000000">occurs_count_zfill_plug</text> <text text-anchor="middle" x="282.44" y="-115.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">occurs_count_zfill_plug</text>
</a> </a>
</g> </g>
</g> </g>
<!-- occurs_count_false&#45;&gt;occurs_count_zfill_plug --> <!-- occurs_count_false&#45;&gt;occurs_count_zfill_plug -->
<g id="edge7" class="edge"> <g id="edge7" class="edge">
<title>occurs_count_false&#45;&gt;occurs_count_zfill_plug</title> <title>occurs_count_false&#45;&gt;occurs_count_zfill_plug</title>
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<!-- occurs_count_pos --> <!-- occurs_count_pos -->
<g id="node31" class="node"> <g id="node31" class="node">
<title>occurs_count_pos</title> <title>occurs_count_pos</title>
<g id="a_node31"><a xlink:title="occurs_count_pos theory/Metatheory.v proved"> <g id="a_node31"><a xlink:title="occurs_count_pos theory/Metatheory.v proved">
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<text text-anchor="middle" x="474.45" y="-15.8" font-family="Inter" font-size="9.00" fill="#000000">occurs_count_pos</text> <text text-anchor="middle" x="474.45" y="-15.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">occurs_count_pos</text>
</a> </a>
</g> </g>
</g> </g>
@@ -587,62 +586,62 @@
<g id="node32" class="node"> <g id="node32" class="node">
<title>occurs_count_zero</title> <title>occurs_count_zero</title>
<g id="a_node32"><a xlink:title="occurs_count_zero theory/Metatheory.v proved"> <g id="a_node32"><a xlink:title="occurs_count_zero theory/Metatheory.v proved">
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<text text-anchor="middle" x="282.44" y="-15.8" font-family="Inter" font-size="9.00" fill="#000000">occurs_count_zero</text> <text text-anchor="middle" x="282.44" y="-15.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">occurs_count_zero</text>
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</g> </g>
</g> </g>
<!-- occurs_count_zero&#45;&gt;full_comp_aux --> <!-- occurs_count_zero&#45;&gt;full_comp_aux -->
<g id="edge11" class="edge"> <g id="edge11" class="edge">
<title>occurs_count_zero&#45;&gt;full_comp_aux</title> <title>occurs_count_zero&#45;&gt;full_comp_aux</title>
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<!-- occurs_count_zero&#45;&gt;occurs_count_pos --> <!-- occurs_count_zero&#45;&gt;occurs_count_pos -->
<g id="edge6" class="edge"> <g id="edge6" class="edge">
<title>occurs_count_zero&#45;&gt;occurs_count_pos</title> <title>occurs_count_zero&#45;&gt;occurs_count_pos</title>
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<g id="edge12" class="edge"> <g id="edge12" class="edge">
<title>occurs_count_zfill_plug&#45;&gt;full_comp_aux</title> <title>occurs_count_zfill_plug&#45;&gt;full_comp_aux</title>
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<!-- occurs_lift_self --> <!-- occurs_lift_self -->
<g id="node34" class="node"> <g id="node34" class="node">
<title>occurs_lift_self</title> <title>occurs_lift_self</title>
<g id="a_node34"><a xlink:title="occurs_lift_self theory/Metatheory.v proved"> <g id="a_node34"><a xlink:title="occurs_lift_self theory/Metatheory.v proved">
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<text text-anchor="middle" x="73.5" y="-182.8" font-family="Inter" font-size="9.00" fill="#000000">occurs_lift_self</text> <text text-anchor="middle" x="73.5" y="-182.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">occurs_lift_self</text>
</a> </a>
</g> </g>
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<title>occurs_lift_self&#45;&gt;occurs_count_zfill_plug</title> <title>occurs_lift_self&#45;&gt;occurs_count_zfill_plug</title>
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<title>occurs_lift_self&#45;&gt;open_rec_zplug_lift</title> <title>occurs_lift_self&#45;&gt;open_rec_zplug_lift</title>
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<!-- open_rec_zplug_lift&#45;&gt;full_comp_aux --> <!-- open_rec_zplug_lift&#45;&gt;full_comp_aux -->
<g id="edge14" class="edge"> <g id="edge14" class="edge">
<title>open_rec_zplug_lift&#45;&gt;full_comp_aux</title> <title>open_rec_zplug_lift&#45;&gt;full_comp_aux</title>
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<!-- plug_fv_mono --> <!-- plug_fv_mono -->
<g id="node36" class="node"> <g id="node36" class="node">
<title>plug_fv_mono</title> <title>plug_fv_mono</title>
<g id="a_node36"><a xlink:title="plug_fv_mono theory/Metatheory.v proved"> <g id="a_node36"><a xlink:title="plug_fv_mono theory/Metatheory.v proved">
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</a> </a>
</g> </g>
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@@ -650,71 +649,71 @@
<g id="node38" class="node"> <g id="node38" class="node">
<title>red1r_fv</title> <title>red1r_fv</title>
<g id="a_node38"><a xlink:title="red1r_fv theory/Metatheory.v proved"> <g id="a_node38"><a xlink:title="red1r_fv theory/Metatheory.v proved">
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</a> </a>
</g> </g>
</g> </g>
<!-- plug_fv_mono&#45;&gt;red1r_fv --> <!-- plug_fv_mono&#45;&gt;red1r_fv -->
<g id="edge20" class="edge"> <g id="edge20" class="edge">
<title>plug_fv_mono&#45;&gt;red1r_fv</title> <title>plug_fv_mono&#45;&gt;red1r_fv</title>
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<!-- red1_root_fv&#45;&gt;red1r_fv --> <!-- red1_root_fv&#45;&gt;red1r_fv -->
<g id="edge21" class="edge"> <g id="edge21" class="edge">
<title>red1_root_fv&#45;&gt;red1r_fv</title> <title>red1_root_fv&#45;&gt;red1r_fv</title>
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<!-- red1r_fv&#45;&gt;lemma_2_1_fv_preserved --> <!-- red1r_fv&#45;&gt;lemma_2_1_fv_preserved -->
<g id="edge22" class="edge"> <g id="edge22" class="edge">
<title>red1r_fv&#45;&gt;lemma_2_1_fv_preserved</title> <title>red1r_fv&#45;&gt;lemma_2_1_fv_preserved</title>
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<!-- zdecs_nonempty --> <!-- zdecs_nonempty -->
<g id="node39" class="node"> <g id="node39" class="node">
<title>zdecs_nonempty</title> <title>zdecs_nonempty</title>
<g id="a_node39"><a xlink:title="zdecs_nonempty theory/Metatheory.v proved"> <g id="a_node39"><a xlink:title="zdecs_nonempty theory/Metatheory.v proved">
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<text text-anchor="middle" x="282.44" y="-65.8" font-family="Inter" font-size="9.00" fill="#000000">zdecs_nonempty</text> <text text-anchor="middle" x="282.44" y="-65.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">zdecs_nonempty</text>
</a> </a>
</g> </g>
</g> </g>
<!-- zdecs_nonempty&#45;&gt;full_comp_aux --> <!-- zdecs_nonempty&#45;&gt;full_comp_aux -->
<g id="edge15" class="edge"> <g id="edge15" class="edge">
<title>zdecs_nonempty&#45;&gt;full_comp_aux</title> <title>zdecs_nonempty&#45;&gt;full_comp_aux</title>
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<!-- check_all_true --> <!-- check_all_true -->
<g id="node40" class="node"> <g id="node40" class="node">
<title>check_all_true</title> <title>check_all_true</title>
<g id="a_node40"><a xlink:title="check_all_true theory/Random.v proved"> <g id="a_node40"><a xlink:title="check_all_true theory/Random.v proved">
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<text text-anchor="middle" x="1211.82" y="-275.8" font-family="Inter" font-size="9.00" fill="#000000">check_all_true</text> <text text-anchor="middle" x="1211.82" y="-275.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">check_all_true</text>
</a> </a>
</g> </g>
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<!-- check_all_true&#45;&gt;enumerate_check --> <!-- check_all_true&#45;&gt;enumerate_check -->
<g id="edge3" class="edge"> <g id="edge3" class="edge">
<title>check_all_true&#45;&gt;enumerate_check</title> <title>check_all_true&#45;&gt;enumerate_check</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M1258.71,-278C1276.76,-278 1297.76,-278 1317.13,-278"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M1258.71,-278C1276.76,-278 1297.76,-278 1317.13,-278"/>
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<!-- check_term_true&#45;&gt;check_all_true --> <!-- check_term_true&#45;&gt;check_all_true -->
<g id="edge27" class="edge"> <g id="edge27" class="edge">
<title>check_term_true&#45;&gt;check_all_true</title> <title>check_term_true&#45;&gt;check_all_true</title>
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<!-- gen_list_length --> <!-- gen_list_length -->
<g id="node44" class="node"> <g id="node44" class="node">
<title>gen_list_length</title> <title>gen_list_length</title>
<g id="a_node44"><a xlink:title="gen_list_length theory/Random.v proved"> <g id="a_node44"><a xlink:title="gen_list_length theory/Random.v proved">
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<text text-anchor="middle" x="73.5" y="-1250.8" font-family="Inter" font-size="9.00" fill="#000000">gen_list_length</text> <text text-anchor="middle" x="73.5" y="-1250.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">gen_list_length</text>
</a> </a>
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@@ -722,8 +721,8 @@
<g id="node46" class="node"> <g id="node46" class="node">
<title>close_rec_app</title> <title>close_rec_app</title>
<g id="a_node46"><a xlink:title="close_rec_app theory/Substitution.v proved"> <g id="a_node46"><a xlink:title="close_rec_app theory/Substitution.v proved">
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<text text-anchor="middle" x="73.5" y="-1300.8" font-family="Inter" font-size="9.00" fill="#000000">close_rec_app</text> <text text-anchor="middle" x="73.5" y="-1300.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">close_rec_app</text>
</a> </a>
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@@ -731,8 +730,8 @@
<g id="node47" class="node"> <g id="node47" class="node">
<title>close_rec_esub</title> <title>close_rec_esub</title>
<g id="a_node47"><a xlink:title="close_rec_esub theory/Substitution.v proved"> <g id="a_node47"><a xlink:title="close_rec_esub theory/Substitution.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-1353" rx="48.49" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-1353" rx="48.49" ry="18"/>
<text text-anchor="middle" x="73.5" y="-1350.8" font-family="Inter" font-size="9.00" fill="#000000">close_rec_esub</text> <text text-anchor="middle" x="73.5" y="-1350.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">close_rec_esub</text>
</a> </a>
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@@ -740,8 +739,8 @@
<g id="node48" class="node"> <g id="node48" class="node">
<title>close_rec_lam</title> <title>close_rec_lam</title>
<g id="a_node48"><a xlink:title="close_rec_lam theory/Substitution.v proved"> <g id="a_node48"><a xlink:title="close_rec_lam theory/Substitution.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-1403" rx="45.72" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-1403" rx="45.72" ry="18"/>
<text text-anchor="middle" x="73.5" y="-1400.8" font-family="Inter" font-size="9.00" fill="#000000">close_rec_lam</text> <text text-anchor="middle" x="73.5" y="-1400.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">close_rec_lam</text>
</a> </a>
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@@ -749,8 +748,8 @@
<g id="node49" class="node"> <g id="node49" class="node">
<title>open_rec_app</title> <title>open_rec_app</title>
<g id="a_node49"><a xlink:title="open_rec_app theory/Substitution.v proved"> <g id="a_node49"><a xlink:title="open_rec_app theory/Substitution.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-1453" rx="46.38" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-1453" rx="46.38" ry="18"/>
<text text-anchor="middle" x="73.5" y="-1450.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_app</text> <text text-anchor="middle" x="73.5" y="-1450.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_app</text>
</a> </a>
</g> </g>
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@@ -758,8 +757,8 @@
<g id="node50" class="node"> <g id="node50" class="node">
<title>open_rec_esub</title> <title>open_rec_esub</title>
<g id="a_node50"><a xlink:title="open_rec_esub theory/Substitution.v proved"> <g id="a_node50"><a xlink:title="open_rec_esub theory/Substitution.v proved">
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<text text-anchor="middle" x="73.5" y="-1500.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_esub</text> <text text-anchor="middle" x="73.5" y="-1500.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_esub</text>
</a> </a>
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@@ -767,8 +766,8 @@
<g id="node51" class="node"> <g id="node51" class="node">
<title>open_rec_lam</title> <title>open_rec_lam</title>
<g id="a_node51"><a xlink:title="open_rec_lam theory/Substitution.v proved"> <g id="a_node51"><a xlink:title="open_rec_lam theory/Substitution.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="73.5" cy="-1553" rx="45.72" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="73.5" cy="-1553" rx="45.72" ry="18"/>
<text text-anchor="middle" x="73.5" y="-1550.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_lam</text> <text text-anchor="middle" x="73.5" y="-1550.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_lam</text>
</a> </a>
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@@ -776,8 +775,8 @@
<g id="node52" class="node"> <g id="node52" class="node">
<title>open_rec_lc</title> <title>open_rec_lc</title>
<g id="a_node52"><a xlink:title="open_rec_lc theory/Substitution.v proved"> <g id="a_node52"><a xlink:title="open_rec_lc theory/Substitution.v proved">
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<text text-anchor="middle" x="282.44" y="-1600.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_lc</text> <text text-anchor="middle" x="282.44" y="-1600.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_lc</text>
</a> </a>
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@@ -785,23 +784,23 @@
<g id="node53" class="node"> <g id="node53" class="node">
<title>open_rec_lc_atom</title> <title>open_rec_lc_atom</title>
<g id="a_node53"><a xlink:title="open_rec_lc_atom theory/Substitution.v proved"> <g id="a_node53"><a xlink:title="open_rec_lc_atom theory/Substitution.v proved">
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<text text-anchor="middle" x="73.5" y="-1600.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_lc_atom</text> <text text-anchor="middle" x="73.5" y="-1600.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_lc_atom</text>
</a> </a>
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<g id="edge36" class="edge"> <g id="edge36" class="edge">
<title>open_rec_lc_atom&#45;&gt;open_rec_lc</title> <title>open_rec_lc_atom&#45;&gt;open_rec_lc</title>
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<g id="node54" class="node"> <g id="node54" class="node">
<title>subst_app</title> <title>subst_app</title>
<g id="a_node54"><a xlink:title="subst_app theory/Substitution.v proved"> <g id="a_node54"><a xlink:title="subst_app theory/Substitution.v proved">
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<text text-anchor="middle" x="73.5" y="-1650.8" font-family="Inter" font-size="9.00" fill="#000000">subst_app</text> <text text-anchor="middle" x="73.5" y="-1650.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_app</text>
</a> </a>
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@@ -809,8 +808,8 @@
<g id="node55" class="node"> <g id="node55" class="node">
<title>subst_esub</title> <title>subst_esub</title>
<g id="a_node55"><a xlink:title="subst_esub theory/Substitution.v proved"> <g id="a_node55"><a xlink:title="subst_esub theory/Substitution.v proved">
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<text text-anchor="middle" x="73.5" y="-1700.8" font-family="Inter" font-size="9.00" fill="#000000">subst_esub</text> <text text-anchor="middle" x="73.5" y="-1700.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">subst_esub</text>
</a> </a>
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@@ -818,8 +817,8 @@
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<title>subst_lam</title> <title>subst_lam</title>
<g id="a_node56"><a xlink:title="subst_lam theory/Substitution.v proved"> <g id="a_node56"><a xlink:title="subst_lam theory/Substitution.v proved">
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graphs/dependency-M3.dot
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rankdir=LR; rankdir=LR;
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graph [fontname=Inter, fontsize=12, labelloc=t, fontcolor="#000000", label=<<B>Theorem dependencies M3, 16 results</B>>]; graph [fontname=Inter, fontsize=12, labelloc=t, fontcolor="#c9d1bb", label=<<B>Theorem dependencies M3, 16 results</B>>];
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occurs_zfill [label="occurs_zfill", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="occurs_zfill theory/Subsystem.v proved"]; occurs_zfill [label="occurs_zfill", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="occurs_zfill theory/Subsystem.v proved"];
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red_gc_measure [label="red_gc_measure", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="red_gc_measure theory/Subsystem.v proved"]; red_gc_measure [label="red_gc_measure", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="red_gc_measure theory/Subsystem.v proved"];
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red_sub_context [label="red_sub_context", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="red_sub_context theory/Subsystem.v proved"]; red_sub_context [label="red_sub_context", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="red_sub_context theory/Subsystem.v proved"];
red_sub_gc [label="red_sub_gc", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="red_sub_gc theory/Subsystem.v proved"]; red_sub_gc [label="red_sub_gc", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="red_sub_gc theory/Subsystem.v proved"];
red_sub_r [label="red_sub_r", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="red_sub_r theory/Subsystem.v proved"]; red_sub_r [label="red_sub_r", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="red_sub_r theory/Subsystem.v proved"];
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zfill_occurs0 [label="zfill_occurs0", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="zfill_occurs0 theory/Subsystem.v proved"]; zfill_occurs0 [label="zfill_occurs0", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="zfill_occurs0 theory/Subsystem.v proved"];
red_sub_root_to_red1 -> red_sub_to_red1; red_sub_root_to_red1 -> red_sub_to_red1;
occurs_zfill -> zfill_occurs0; occurs_zfill -> zfill_occurs0;
zfill_occurs0 -> R_Gc_disjoint; zfill_occurs0 -> R_Gc_disjoint;
graphs/dependency-M3.png
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graphs/dependency-M3.svg
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<title>deps</title> <title>deps</title>
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<text text-anchor="start" x="252.42" y="-594.4" font-family="Inter" font-weight="bold" font-size="12.00" fill="#000000">Theorem dependencies M3, 16 results</text>
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<g id="node1" class="node"> <g id="node1" class="node">
<title>Plus_to_Star</title> <title>Plus_to_Star</title>
<g id="a_node1"><a xlink:title="Plus_to_Star theory/Closure.v proved"> <g id="a_node1"><a xlink:title="Plus_to_Star theory/Closure.v proved">
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<title>star_red_sub_full_comp</title> <title>star_red_sub_full_comp</title>
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<text text-anchor="middle" x="693.41" y="-215.8" font-family="Inter" font-size="9.00" fill="#000000">star_red_sub_full_comp</text> <text text-anchor="middle" x="693.41" y="-215.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">star_red_sub_full_comp</text>
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<g id="edge14" class="edge"> <g id="edge14" class="edge">
<title>Plus_to_Star&#45;&gt;star_red_sub_full_comp</title> <title>Plus_to_Star&#45;&gt;star_red_sub_full_comp</title>
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<g id="node2" class="node"> <g id="node2" class="node">
<title>occurs_count_zero</title> <title>occurs_count_zero</title>
<g id="a_node2"><a xlink:title="occurs_count_zero theory/Metatheory.v proved"> <g id="a_node2"><a xlink:title="occurs_count_zero theory/Metatheory.v proved">
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@@ -47,98 +46,98 @@
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<title>occurs_count_zero&#45;&gt;full_comp_aux_sub</title> <title>occurs_count_zero&#45;&gt;full_comp_aux_sub</title>
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<title>occurs_count_zfill_plug&#45;&gt;full_comp_aux_sub</title> <title>occurs_count_zfill_plug&#45;&gt;full_comp_aux_sub</title>
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<title>open_rec_occurs_false</title> <title>open_rec_occurs_false</title>
<g id="a_node4"><a xlink:title="open_rec_occurs_false theory/Binding.v proved"> <g id="a_node4"><a xlink:title="open_rec_occurs_false theory/Binding.v proved">
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<text text-anchor="middle" x="76" y="-265.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_occurs_false\n(M1)</text> <text text-anchor="middle" x="76" y="-265.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_occurs_false\n(M1)</text>
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<g id="edge7" class="edge"> <g id="edge7" class="edge">
<title>open_rec_occurs_false&#45;&gt;full_comp_aux_sub</title> <title>open_rec_occurs_false&#45;&gt;full_comp_aux_sub</title>
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<g id="node5" class="node"> <g id="node5" class="node">
<title>open_rec_zplug_lift</title> <title>open_rec_zplug_lift</title>
<g id="a_node5"><a xlink:title="open_rec_zplug_lift theory/Metatheory.v proved"> <g id="a_node5"><a xlink:title="open_rec_zplug_lift theory/Metatheory.v proved">
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<text text-anchor="middle" x="76" y="-215.8" font-family="Inter" font-size="9.00" fill="#000000">open_rec_zplug_lift\n(M2)</text> <text text-anchor="middle" x="76" y="-215.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">open_rec_zplug_lift\n(M2)</text>
</a> </a>
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</g> </g>
<!-- open_rec_zplug_lift&#45;&gt;full_comp_aux_sub --> <!-- open_rec_zplug_lift&#45;&gt;full_comp_aux_sub -->
<g id="edge8" class="edge"> <g id="edge8" class="edge">
<title>open_rec_zplug_lift&#45;&gt;full_comp_aux_sub</title> <title>open_rec_zplug_lift&#45;&gt;full_comp_aux_sub</title>
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</g> </g>
<!-- zdecs_nonempty --> <!-- zdecs_nonempty -->
<g id="node6" class="node"> <g id="node6" class="node">
<title>zdecs_nonempty</title> <title>zdecs_nonempty</title>
<g id="a_node6"><a xlink:title="zdecs_nonempty theory/Metatheory.v proved"> <g id="a_node6"><a xlink:title="zdecs_nonempty theory/Metatheory.v proved">
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<text text-anchor="middle" x="76" y="-165.8" font-family="Inter" font-size="9.00" fill="#000000">zdecs_nonempty\n(M2)</text> <text text-anchor="middle" x="76" y="-165.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">zdecs_nonempty\n(M2)</text>
</a> </a>
</g> </g>
</g> </g>
<!-- zdecs_nonempty&#45;&gt;full_comp_aux_sub --> <!-- zdecs_nonempty&#45;&gt;full_comp_aux_sub -->
<g id="edge11" class="edge"> <g id="edge11" class="edge">
<title>zdecs_nonempty&#45;&gt;full_comp_aux_sub</title> <title>zdecs_nonempty&#45;&gt;full_comp_aux_sub</title>
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<!-- zdecs_sound --> <!-- zdecs_sound -->
<g id="node7" class="node"> <g id="node7" class="node">
<title>zdecs_sound</title> <title>zdecs_sound</title>
<g id="a_node7"><a xlink:title="zdecs_sound theory/Reduction.v proved"> <g id="a_node7"><a xlink:title="zdecs_sound theory/Reduction.v proved">
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<text text-anchor="middle" x="76" y="-115.8" font-family="Inter" font-size="9.00" fill="#000000">zdecs_sound\n(M1)</text> <text text-anchor="middle" x="76" y="-115.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">zdecs_sound\n(M1)</text>
</a> </a>
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<!-- zdecs_sound&#45;&gt;full_comp_aux_sub --> <!-- zdecs_sound&#45;&gt;full_comp_aux_sub -->
<g id="edge12" class="edge"> <g id="edge12" class="edge">
<title>zdecs_sound&#45;&gt;full_comp_aux_sub</title> <title>zdecs_sound&#45;&gt;full_comp_aux_sub</title>
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<!-- R_Gc_disjoint --> <!-- R_Gc_disjoint -->
<g id="node8" class="node"> <g id="node8" class="node">
<title>R_Gc_disjoint</title> <title>R_Gc_disjoint</title>
<g id="a_node8"><a xlink:title="R_Gc_disjoint theory/Subsystem.v proved"> <g id="a_node8"><a xlink:title="R_Gc_disjoint theory/Subsystem.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="486.38" cy="-418" rx="43.76" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="486.38" cy="-418" rx="43.76" ry="18"/>
<text text-anchor="middle" x="486.38" y="-415.8" font-family="Inter" font-size="9.00" fill="#000000">R_Gc_disjoint</text> <text text-anchor="middle" x="486.38" y="-415.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">R_Gc_disjoint</text>
</a> </a>
</g> </g>
</g> </g>
@@ -146,8 +145,8 @@
<g id="node9" class="node"> <g id="node9" class="node">
<title>Star_red_sub_context</title> <title>Star_red_sub_context</title>
<g id="a_node9"><a xlink:title="Star_red_sub_context theory/Subsystem.v proved"> <g id="a_node9"><a xlink:title="Star_red_sub_context theory/Subsystem.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="283.4" cy="-468" rx="66.29" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="283.4" cy="-468" rx="66.29" ry="18"/>
<text text-anchor="middle" x="283.4" y="-465.8" font-family="Inter" font-size="9.00" fill="#000000">Star_red_sub_context</text> <text text-anchor="middle" x="283.4" y="-465.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">Star_red_sub_context</text>
</a> </a>
</g> </g>
</g> </g>
@@ -155,8 +154,8 @@
<g id="node10" class="node"> <g id="node10" class="node">
<title>es_count_plug_mono</title> <title>es_count_plug_mono</title>
<g id="a_node10"><a xlink:title="es_count_plug_mono theory/Subsystem.v proved"> <g id="a_node10"><a xlink:title="es_count_plug_mono theory/Subsystem.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="76" cy="-518" rx="64.83" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="76" cy="-518" rx="64.83" ry="18"/>
<text text-anchor="middle" x="76" y="-515.8" font-family="Inter" font-size="9.00" fill="#000000">es_count_plug_mono</text> <text text-anchor="middle" x="76" y="-515.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">es_count_plug_mono</text>
</a> </a>
</g> </g>
</g> </g>
@@ -164,38 +163,38 @@
<g id="node14" class="node"> <g id="node14" class="node">
<title>red_gc_measure</title> <title>red_gc_measure</title>
<g id="a_node14"><a xlink:title="red_gc_measure theory/Subsystem.v proved"> <g id="a_node14"><a xlink:title="red_gc_measure theory/Subsystem.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="283.4" cy="-518" rx="52.58" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="283.4" cy="-518" rx="52.58" ry="18"/>
<text text-anchor="middle" x="283.4" y="-515.8" font-family="Inter" font-size="9.00" fill="#000000">red_gc_measure</text> <text text-anchor="middle" x="283.4" y="-515.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">red_gc_measure</text>
</a> </a>
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</g> </g>
<!-- es_count_plug_mono&#45;&gt;red_gc_measure --> <!-- es_count_plug_mono&#45;&gt;red_gc_measure -->
<g id="edge16" class="edge"> <g id="edge16" class="edge">
<title>es_count_plug_mono&#45;&gt;red_gc_measure</title> <title>es_count_plug_mono&#45;&gt;red_gc_measure</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M140.86,-518C167.57,-518 198.39,-518 224.44,-518"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M140.86,-518C167.57,-518 198.39,-518 224.44,-518"/>
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<!-- plus_red_sub_full_comp --> <!-- plus_red_sub_full_comp -->
<g id="node13" class="node"> <g id="node13" class="node">
<title>plus_red_sub_full_comp</title> <title>plus_red_sub_full_comp</title>
<g id="a_node13"><a xlink:title="plus_red_sub_full_comp theory/Subsystem.v proved"> <g id="a_node13"><a xlink:title="plus_red_sub_full_comp theory/Subsystem.v proved">
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<text text-anchor="middle" x="486.38" y="-190.8" font-family="Inter" font-size="9.00" fill="#000000">plus_red_sub_full_comp</text> <text text-anchor="middle" x="486.38" y="-190.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">plus_red_sub_full_comp</text>
</a> </a>
</g> </g>
</g> </g>
<!-- full_comp_aux_sub&#45;&gt;plus_red_sub_full_comp --> <!-- full_comp_aux_sub&#45;&gt;plus_red_sub_full_comp -->
<g id="edge13" class="edge"> <g id="edge13" class="edge">
<title>full_comp_aux_sub&#45;&gt;plus_red_sub_full_comp</title> <title>full_comp_aux_sub&#45;&gt;plus_red_sub_full_comp</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M342.53,-193C363.09,-193 386.54,-193 408.42,-193"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M342.53,-193C363.09,-193 386.54,-193 408.42,-193"/>
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<!-- occurs_zfill --> <!-- occurs_zfill -->
<g id="node12" class="node"> <g id="node12" class="node">
<title>occurs_zfill</title> <title>occurs_zfill</title>
<g id="a_node12"><a xlink:title="occurs_zfill theory/Subsystem.v proved"> <g id="a_node12"><a xlink:title="occurs_zfill theory/Subsystem.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="76" cy="-418" rx="38.21" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="76" cy="-418" rx="38.21" ry="18"/>
<text text-anchor="middle" x="76" y="-415.8" font-family="Inter" font-size="9.00" fill="#000000">occurs_zfill</text> <text text-anchor="middle" x="76" y="-415.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">occurs_zfill</text>
</a> </a>
</g> </g>
</g> </g>
@@ -203,44 +202,44 @@
<g id="node23" class="node"> <g id="node23" class="node">
<title>zfill_occurs0</title> <title>zfill_occurs0</title>
<g id="a_node23"><a xlink:title="zfill_occurs0 theory/Subsystem.v proved"> <g id="a_node23"><a xlink:title="zfill_occurs0 theory/Subsystem.v proved">
<ellipse fill="#ffffff" stroke="#000000" cx="283.4" cy="-418" rx="41.64" ry="18"/> <ellipse fill="transparent" stroke="#a9b492" cx="283.4" cy="-418" rx="41.64" ry="18"/>
<text text-anchor="middle" x="283.4" y="-415.8" font-family="Inter" font-size="9.00" fill="#000000">zfill_occurs0</text> <text text-anchor="middle" x="283.4" y="-415.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">zfill_occurs0</text>
</a> </a>
</g> </g>
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<!-- occurs_zfill&#45;&gt;zfill_occurs0 --> <!-- occurs_zfill&#45;&gt;zfill_occurs0 -->
<g id="edge2" class="edge"> <g id="edge2" class="edge">
<title>occurs_zfill&#45;&gt;zfill_occurs0</title> <title>occurs_zfill&#45;&gt;zfill_occurs0</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M114.2,-418C148.18,-418 198.6,-418 235.37,-418"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M114.2,-418C148.18,-418 198.6,-418 235.37,-418"/>
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<!-- plus_red_sub_full_comp&#45;&gt;star_red_sub_full_comp --> <!-- plus_red_sub_full_comp&#45;&gt;star_red_sub_full_comp -->
<g id="edge15" class="edge"> <g id="edge15" class="edge">
<title>plus_red_sub_full_comp&#45;&gt;star_red_sub_full_comp</title> <title>plus_red_sub_full_comp&#45;&gt;star_red_sub_full_comp</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M551.13,-200.77C574.01,-203.56 599.9,-206.72 623.22,-209.56"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M551.13,-200.77C574.01,-203.56 599.9,-206.72 623.22,-209.56"/>
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<!-- red_gc_terminates --> <!-- red_gc_terminates -->
<g id="node15" class="node"> <g id="node15" class="node">
<title>red_gc_terminates</title> <title>red_gc_terminates</title>
<g id="a_node15"><a xlink:title="red_gc_terminates theory/Subsystem.v proved"> <g id="a_node15"><a xlink:title="red_gc_terminates theory/Subsystem.v proved">
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<text text-anchor="middle" x="486.38" y="-515.8" font-family="Inter" font-size="9.00" fill="#000000">red_gc_terminates</text> <text text-anchor="middle" x="486.38" y="-515.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">red_gc_terminates</text>
</a> </a>
</g> </g>
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<!-- red_gc_measure&#45;&gt;red_gc_terminates --> <!-- red_gc_measure&#45;&gt;red_gc_terminates -->
<g id="edge17" class="edge"> <g id="edge17" class="edge">
<title>red_gc_measure&#45;&gt;red_gc_terminates</title> <title>red_gc_measure&#45;&gt;red_gc_terminates</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M336.15,-518C362.21,-518 394.04,-518 421.6,-518"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M336.15,-518C362.21,-518 394.04,-518 421.6,-518"/>
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<g id="node16" class="node"> <g id="node16" class="node">
<title>red_gc_to_red_sub</title> <title>red_gc_to_red_sub</title>
<g id="a_node16"><a xlink:title="red_gc_to_red_sub theory/Subsystem.v proved"> <g id="a_node16"><a xlink:title="red_gc_to_red_sub theory/Subsystem.v proved">
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<text text-anchor="middle" x="283.4" y="-15.8" font-family="Inter" font-size="9.00" fill="#000000">red_gc_to_red_sub</text> <text text-anchor="middle" x="283.4" y="-15.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">red_gc_to_red_sub</text>
</a> </a>
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@@ -248,59 +247,59 @@
<g id="node17" class="node"> <g id="node17" class="node">
<title>red_sub_context</title> <title>red_sub_context</title>
<g id="a_node17"><a xlink:title="red_sub_context theory/Subsystem.v proved"> <g id="a_node17"><a xlink:title="red_sub_context theory/Subsystem.v proved">
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<text text-anchor="middle" x="76" y="-465.8" font-family="Inter" font-size="9.00" fill="#000000">red_sub_context</text> <text text-anchor="middle" x="76" y="-465.8" font-family="Inter" font-size="9.00" fill="#c9d1bb">red_sub_context</text>
</a> </a>
</g> </g>
</g> </g>
<!-- red_sub_context&#45;&gt;Star_red_sub_context --> <!-- red_sub_context&#45;&gt;Star_red_sub_context -->
<g id="edge4" class="edge"> <g id="edge4" class="edge">
<title>red_sub_context&#45;&gt;Star_red_sub_context</title> <title>red_sub_context&#45;&gt;Star_red_sub_context</title>
<path fill="none" stroke="#000000" stroke-width="0.8" d="M129.36,-468C154.11,-468 184.05,-468 210.85,-468"/> <path fill="none" stroke="#8f9780" stroke-width="0.8" d="M129.36,-468C154.11,-468 184.05,-468 210.85,-468"/>
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</g> </g>
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<g id="node18" class="node"> <g id="node18" class="node">
<title>red_sub_gc</title> <title>red_sub_gc</title>
<g id="a_node18"><a xlink:title="red_sub_gc theory/Subsystem.v proved"> <g id="a_node18"><a xlink:title="red_sub_gc theory/Subsystem.v proved">
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</a> </a>
</g> </g>
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<!-- red_sub_gc&#45;&gt;full_comp_aux_sub --> <!-- red_sub_gc&#45;&gt;full_comp_aux_sub -->
<g id="edge9" class="edge"> <g id="edge9" class="edge">
<title>red_sub_gc&#45;&gt;full_comp_aux_sub</title> <title>red_sub_gc&#45;&gt;full_comp_aux_sub</title>
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<g id="edge18" class="edge"> <g id="edge18" class="edge">
<title>red_sub_gc&#45;&gt;red_gc_to_red_sub</title> <title>red_sub_gc&#45;&gt;red_gc_to_red_sub</title>
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<g id="node19" class="node"> <g id="node19" class="node">
<title>red_sub_r</title> <title>red_sub_r</title>
<g id="a_node19"><a xlink:title="red_sub_r theory/Subsystem.v proved"> <g id="a_node19"><a xlink:title="red_sub_r theory/Subsystem.v proved">
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<title>red_sub_r&#45;&gt;full_comp_aux_sub</title> <title>red_sub_r&#45;&gt;full_comp_aux_sub</title>
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<g id="node20" class="node"> <g id="node20" class="node">
<title>red_sub_root_to_red1</title> <title>red_sub_root_to_red1</title>
<g id="a_node20"><a xlink:title="red_sub_root_to_red1 theory/Subsystem.v proved"> <g id="a_node20"><a xlink:title="red_sub_root_to_red1 theory/Subsystem.v proved">
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@@ -308,22 +307,22 @@
<g id="node21" class="node"> <g id="node21" class="node">
<title>red_sub_to_red1</title> <title>red_sub_to_red1</title>
<g id="a_node21"><a xlink:title="red_sub_to_red1 theory/Subsystem.v proved"> <g id="a_node21"><a xlink:title="red_sub_to_red1 theory/Subsystem.v proved">
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<g id="edge1" class="edge"> <g id="edge1" class="edge">
<title>red_sub_root_to_red1&#45;&gt;red_sub_to_red1</title> <title>red_sub_root_to_red1&#45;&gt;red_sub_to_red1</title>
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<g id="edge3" class="edge"> <g id="edge3" class="edge">
<title>zfill_occurs0&#45;&gt;R_Gc_disjoint</title> <title>zfill_occurs0&#45;&gt;R_Gc_disjoint</title>
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par_red1_iff -> par_to_red1_or_eq; par_red1_iff -> par_to_red1_or_eq;
par_red1_iff -> red1_or_eq_to_par; par_red1_iff -> red1_or_eq_to_par;
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<g id="node1" class="node"> <g id="node1" class="node">
<title>par_context</title> <title>par_context</title>
<g id="a_node1"><a xlink:title="par_context theory/Parallel.v proved"> <g id="a_node1"><a xlink:title="par_context theory/Parallel.v proved">
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@@ -23,8 +22,8 @@
<g id="node2" class="node"> <g id="node2" class="node">
<title>par_red1_iff</title> <title>par_red1_iff</title>
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@@ -32,38 +31,38 @@
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<title>par_to_red1_or_eq</title> <title>par_to_red1_or_eq</title>
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<g id="edge1" class="edge"> <g id="edge1" class="edge">
<title>par_red1_iff&#45;&gt;par_to_red1_or_eq</title> <title>par_red1_iff&#45;&gt;par_to_red1_or_eq</title>
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<g id="node6" class="node"> <g id="node6" class="node">
<title>red1_or_eq_to_par</title> <title>red1_or_eq_to_par</title>
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<title>par_red1_iff&#45;&gt;red1_or_eq_to_par</title> <title>par_red1_iff&#45;&gt;red1_or_eq_to_par</title>
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<g id="node3" class="node"> <g id="node3" class="node">
<title>par_reflexive</title> <title>par_reflexive</title>
<g id="a_node3"><a xlink:title="par_reflexive theory/Parallel.v proved"> <g id="a_node3"><a xlink:title="par_reflexive theory/Parallel.v proved">
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@@ -71,8 +70,8 @@
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edge [fontname=Inter, fontsize=8, color="#000000", fontcolor="#000000", arrowsize=0.6, penwidth=0.8]; edge [fontname=Inter, fontsize=8, color="#8f9780", fontcolor="#c9d1bb", arrowsize=0.6, penwidth=0.8];
graph [fontname=Inter, fontsize=12, labelloc=t, fontcolor="#000000", label=<<B>Theorem dependencies M5, 69 results</B>>]; graph [fontname=Inter, fontsize=12, labelloc=t, fontcolor="#c9d1bb", label=<<B>Theorem dependencies M5, 69 results</B>>];
lemma_2_2_full_comp [label="lemma_2_2_full_comp\\n(M2)", shape=box, style="rounded,dashed,filled", fillcolor="#ffffff", color="#000000", penwidth=0.9, fontcolor="#000000", tooltip="lemma_2_2_full_comp (section 2.2) theory/Metatheory.v proved"]; lemma_2_2_full_comp [label="lemma_2_2_full_comp\\n(M2)", shape=box, style="rounded,dashed,filled", fillcolor="transparent", color="#8f9780", penwidth=0.9, fontcolor="#c9d1bb", tooltip="lemma_2_2_full_comp (section 2.2) theory/Metatheory.v proved"];
Plus_mred_of_Plus_red1 [label="Plus_mred_of_Plus_red1", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Plus_mred_of_Plus_red1 theory/Metaterm.v proved"]; Plus_mred_of_Plus_red1 [label="Plus_mred_of_Plus_red1", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Plus_mred_of_Plus_red1 theory/Metaterm.v proved"];
mfvs_close_m [label="mfvs_close_m", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mfvs_close_m theory/Metaterm.v proved"]; mfvs_close_m [label="mfvs_close_m", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mfvs_close_m theory/Metaterm.v proved"];
mfvs_lift_m [label="mfvs_lift_m", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mfvs_lift_m theory/Metaterm.v proved"]; mfvs_lift_m [label="mfvs_lift_m", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mfvs_lift_m theory/Metaterm.v proved"];
mfvs_open_m [label="mfvs_open_m", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mfvs_open_m theory/Metaterm.v proved"]; mfvs_open_m [label="mfvs_open_m", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mfvs_open_m theory/Metaterm.v proved"];
mred_B_intro [label="mred_B_intro", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_B_intro theory/Metaterm.v proved"]; mred_B_intro [label="mred_B_intro", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_B_intro theory/Metaterm.v proved"];
mred_context [label="mred_context", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_context theory/Metaterm.v proved"]; mred_context [label="mred_context", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_context theory/Metaterm.v proved"];
mred_full_comp_pure [label="mred_full_comp_pure", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_full_comp_pure theory/Metaterm.v proved"]; mred_full_comp_pure [label="mred_full_comp_pure", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_full_comp_pure theory/Metaterm.v proved"];
mred_gc_intro [label="mred_gc_intro", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_gc_intro theory/Metaterm.v proved"]; mred_gc_intro [label="mred_gc_intro", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_gc_intro theory/Metaterm.v proved"];
mred_of_red1 [label="mred_of_red1", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_of_red1 theory/Metaterm.v proved"]; mred_of_red1 [label="mred_of_red1", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_of_red1 theory/Metaterm.v proved"];
mred_plus_one [label="mred_plus_one", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_plus_one theory/Metaterm.v proved"]; mred_plus_one [label="mred_plus_one", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_plus_one theory/Metaterm.v proved"];
mred_r_intro [label="mred_r_intro", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_r_intro theory/Metaterm.v proved"]; mred_r_intro [label="mred_r_intro", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_r_intro theory/Metaterm.v proved"];
mred_term_context [label="mred_term_context", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="mred_term_context theory/Metaterm.v proved"]; mred_term_context [label="mred_term_context", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="mred_term_context theory/Metaterm.v proved"];
of_trm_close [label="of_trm_close", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_close theory/Metaterm.v proved"]; of_trm_close [label="of_trm_close", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_close theory/Metaterm.v proved"];
of_trm_fvs [label="of_trm_fvs", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_fvs theory/Metaterm.v proved"]; of_trm_fvs [label="of_trm_fvs", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_fvs theory/Metaterm.v proved"];
of_trm_injective [label="of_trm_injective", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_injective theory/Metaterm.v proved"]; of_trm_injective [label="of_trm_injective", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_injective theory/Metaterm.v proved"];
of_trm_lift [label="of_trm_lift", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_lift theory/Metaterm.v proved"]; of_trm_lift [label="of_trm_lift", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_lift theory/Metaterm.v proved"];
of_trm_moccurs [label="of_trm_moccurs", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_moccurs theory/Metaterm.v proved"]; of_trm_moccurs [label="of_trm_moccurs", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_moccurs theory/Metaterm.v proved"];
of_trm_moccurs0 [label="of_trm_moccurs0", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_moccurs0 theory/Metaterm.v proved"]; of_trm_moccurs0 [label="of_trm_moccurs0", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_moccurs0 theory/Metaterm.v proved"];
of_trm_open [label="of_trm_open", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_open theory/Metaterm.v proved"]; of_trm_open [label="of_trm_open", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_open theory/Metaterm.v proved"];
of_trm_plug [label="of_trm_plug", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="of_trm_plug theory/Metaterm.v proved"]; of_trm_plug [label="of_trm_plug", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="of_trm_plug theory/Metaterm.v proved"];
PlusN_to_StarN [label="PlusN_to_StarN", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="PlusN_to_StarN theory/NamedEs.v proved"]; PlusN_to_StarN [label="PlusN_to_StarN", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="PlusN_to_StarN theory/NamedEs.v proved"];
StarN_one_trans [label="StarN_one_trans", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="StarN_one_trans theory/NamedEs.v proved"]; StarN_one_trans [label="StarN_one_trans", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="StarN_one_trans theory/NamedEs.v proved"];
StarN_subred_context [label="StarN_subred_context", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="StarN_subred_context theory/NamedEs.v proved"]; StarN_subred_context [label="StarN_subred_context", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="StarN_subred_context theory/NamedEs.v proved"];
StarN_trans [label="StarN_trans", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="StarN_trans theory/NamedEs.v proved"]; StarN_trans [label="StarN_trans", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="StarN_trans theory/NamedEs.v proved"];
nred_stable_source [label="nred_stable_source", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nred_stable_source theory/NamedEs.v proved"]; nred_stable_source [label="nred_stable_source", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nred_stable_source theory/NamedEs.v proved"];
nred_stable_target [label="nred_stable_target", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nred_stable_target theory/NamedEs.v proved"]; nred_stable_target [label="nred_stable_target", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nred_stable_target theory/NamedEs.v proved"];
subred_Es_l [label="subred_Es_l", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_Es_l theory/NamedEs.v proved"]; subred_Es_l [label="subred_Es_l", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_Es_l theory/NamedEs.v proved"];
subred_Es_lr [label="subred_Es_lr", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_Es_lr theory/NamedEs.v proved"]; subred_Es_lr [label="subred_Es_lr", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_Es_lr theory/NamedEs.v proved"];
subred_Es_r [label="subred_Es_r", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_Es_r theory/NamedEs.v proved"]; subred_Es_r [label="subred_Es_r", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_Es_r theory/NamedEs.v proved"];
subred_context [label="subred_context", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_context theory/NamedEs.v proved"]; subred_context [label="subred_context", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_context theory/NamedEs.v proved"];
subred_context_rule [label="subred_context_rule", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_context_rule theory/NamedEs.v proved"]; subred_context_rule [label="subred_context_rule", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_context_rule theory/NamedEs.v proved"];
subred_intro [label="subred_intro", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_intro theory/NamedEs.v proved"]; subred_intro [label="subred_intro", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_intro theory/NamedEs.v proved"];
subred_nred [label="subred_nred", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_nred theory/NamedEs.v proved"]; subred_nred [label="subred_nred", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_nred theory/NamedEs.v proved"];
subred_of_Es_nred_Es [label="subred_of_Es_nred_Es", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_of_Es_nred_Es theory/NamedEs.v proved"]; subred_of_Es_nred_Es [label="subred_of_Es_nred_Es", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_of_Es_nred_Es theory/NamedEs.v proved"];
A1_C_related [label="A1_C_related", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="A1_C_related theory/NamedMeasure.v proved"]; A1_C_related [label="A1_C_related", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="A1_C_related theory/NamedMeasure.v proved"];
A1_Mx_differ [label="A1_Mx_differ", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="A1_Mx_differ theory/NamedMeasure.v proved"]; A1_Mx_differ [label="A1_Mx_differ", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="A1_Mx_differ theory/NamedMeasure.v proved"];
A1_not_invariant [label="A1_not_invariant", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="A1_not_invariant theory/NamedMeasure.v proved"]; A1_not_invariant [label="A1_not_invariant", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="A1_not_invariant theory/NamedMeasure.v proved"];
A1_s_differ [label="A1_s_differ", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="A1_s_differ theory/NamedMeasure.v proved"]; A1_s_differ [label="A1_s_differ", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="A1_s_differ theory/NamedMeasure.v proved"];
Gc_special_nondecrease [label="Gc_special_nondecrease", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Gc_special_nondecrease theory/NamedMeasure.v proved"]; Gc_special_nondecrease [label="Gc_special_nondecrease", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Gc_special_nondecrease theory/NamedMeasure.v proved"];
Mx_fresh_fails [label="Mx_fresh_fails", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Mx_fresh_fails theory/NamedMeasure.v proved"]; Mx_fresh_fails [label="Mx_fresh_fails", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Mx_fresh_fails theory/NamedMeasure.v proved"];
Mx_ge_0 [label="Mx_ge_0", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Mx_ge_0 theory/NamedMeasure.v proved"]; Mx_ge_0 [label="Mx_ge_0", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Mx_ge_0 theory/NamedMeasure.v proved"];
current_sm_not_terminating [label="current_sm_not_terminating", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="current_sm_not_terminating theory/NamedMeasure.v proved"]; current_sm_not_terminating [label="current_sm_not_terminating", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="current_sm_not_terminating theory/NamedMeasure.v proved"];
current_subred_not_terminating [label="current_subred_not_terminating", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="current_subred_not_terminating theory/NamedMeasure.v proved"]; current_subred_not_terminating [label="current_subred_not_terminating", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="current_subred_not_terminating theory/NamedMeasure.v proved"];
head_has_pos [label="head_has_pos", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="head_has_pos theory/NamedMeasure.v proved"]; head_has_pos [label="head_has_pos", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="head_has_pos theory/NamedMeasure.v proved"];
le_mul_of_one_le [label="le_mul_of_one_le", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="le_mul_of_one_le theory/NamedMeasure.v proved"]; le_mul_of_one_le [label="le_mul_of_one_le", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="le_mul_of_one_le theory/NamedMeasure.v proved"];
nfv_annot_bound_example [label="nfv_annot_bound_example", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nfv_annot_bound_example theory/NamedMeasure.v proved"]; nfv_annot_bound_example [label="nfv_annot_bound_example", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nfv_annot_bound_example theory/NamedMeasure.v proved"];
nocc_le_Mx [label="nocc_le_Mx", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nocc_le_Mx theory/NamedMeasure.v proved"]; nocc_le_Mx [label="nocc_le_Mx", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nocc_le_Mx theory/NamedMeasure.v proved"];
nred_Gc_special [label="nred_Gc_special", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nred_Gc_special theory/NamedMeasure.v proved"]; nred_Gc_special [label="nred_Gc_special", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nred_Gc_special theory/NamedMeasure.v proved"];
nred_R_selfloop [label="nred_R_selfloop", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="nred_R_selfloop theory/NamedMeasure.v proved"]; nred_R_selfloop [label="nred_R_selfloop", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="nred_R_selfloop theory/NamedMeasure.v proved"];
s_metavar_empty [label="s_metavar_empty", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="s_metavar_empty theory/NamedMeasure.v proved"]; s_metavar_empty [label="s_metavar_empty", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="s_metavar_empty theory/NamedMeasure.v proved"];
subred_selfloop [label="subred_selfloop", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="subred_selfloop theory/NamedMeasure.v proved"]; subred_selfloop [label="subred_selfloop", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="subred_selfloop theory/NamedMeasure.v proved"];
Es_ctx_any [label="Es_ctx_any", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Es_ctx_any theory/NamedMeta.v proved"]; Es_ctx_any [label="Es_ctx_any", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Es_ctx_any theory/NamedMeta.v proved"];
Es_fv [label="Es_fv", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Es_fv theory/NamedMeta.v proved"]; Es_fv [label="Es_fv", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Es_fv theory/NamedMeta.v proved"];
Es_fv_both [label="Es_fv_both", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Es_fv_both theory/NamedMeta.v proved"]; Es_fv_both [label="Es_fv_both", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Es_fv_both theory/NamedMeta.v proved"];
Es_refl_any [label="Es_refl_any", shape=ellipse, style="filled", fillcolor="#ffffff", color="#000000", penwidth=1.0, fontcolor="#000000", tooltip="Es_refl_any theory/NamedMeta.v proved"]; Es_refl_any [label="Es_refl_any", shape=ellipse, style="filled", fillcolor="transparent", color="#a9b492", penwidth=1.0, fontcolor="#c9d1bb", tooltip="Es_refl_any theory/NamedMeta.v proved"];
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of_trm_lift -> of_trm_open; of_trm_lift -> of_trm_open;
mfvs_lift_m -> mfvs_open_m; mfvs_lift_m -> mfvs_open_m;
of_trm_plug -> mred_term_context; of_trm_plug -> mred_term_context;
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M1 -> M2; M1 -> M2;
M1 -> M3; M1 -> M3;
M2 -> M3; M2 -> M3;
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<title>M1</title> <title>M1</title>
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<title>M2</title> <title>M2</title>
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<!-- M1&#45;&gt;M2 --> <!-- M1&#45;&gt;M2 -->
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<title>M1&#45;&gt;M2</title> <title>M1&#45;&gt;M2</title>
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<g id="node3" class="node"> <g id="node3" class="node">
<title>M3</title> <title>M3</title>
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<title>n0&#45;&gt;n1</title> <title>n0&#45;&gt;n1</title>
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graphs/rules.dot
+13 -13
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@@ -1,19 +1,19 @@
digraph lambda_sub_cfg { digraph lambda_sub_cfg {
rankdir=TB; rankdir=TB;
bgcolor="#ffffff"; bgcolor="transparent";
node [fontname=Inter, fontsize=10, fontcolor="#000000"]; node [fontname=Inter, fontsize=10, fontcolor="#c9d1bb"];
edge [fontname=Inter, fontsize=9, color="#000000", fontcolor="#000000"]; edge [fontname=Inter, fontsize=9, color="#8f9780", fontcolor="#c9d1bb"];
start [label="term", shape=oval, style=filled, fillcolor="#ffffff", color="#000000"]; start [label="term", shape=oval, style=filled, fillcolor="transparent", color="#a9b492"];
beta [label="(lambda x. t) u", shape=box, style="rounded,filled", fillcolor="#ffffff", color="#000000", fontcolor="#000000"]; beta [label="(lambda x. t) u", shape=box, style="rounded,filled", fillcolor="transparent", color="#a9b492", fontcolor="#c9d1bb"];
es [label="t[x/u]", shape=box, style="rounded,filled", fillcolor="#ffffff", color="#000000", fontcolor="#000000"]; es [label="t[x/u]", shape=box, style="rounded,filled", fillcolor="transparent", color="#a9b492", fontcolor="#c9d1bb"];
pure [label="pure term", shape=oval, style=filled, fillcolor="#ffffff", color="#000000"]; pure [label="pure term", shape=oval, style=filled, fillcolor="transparent", color="#a9b492"];
nf [label="normal form", shape=doublecircle, style=filled, fillcolor="#ffffff", color="#000000"]; nf [label="normal form", shape=doublecircle, style=filled, fillcolor="#2a3a22", color="#8fb071"];
start -> beta [label="App(Lam,_)"]; start -> beta [label="App(Lam,_)"];
start -> es [label="ESub"]; start -> es [label="ESub"];
start -> pure [label="BVar/FVar/Lam"]; start -> pure [label="BVar/FVar/Lam"];
beta -> es [label="B", color="#000000"]; beta -> es [label="B", color="#dfe7cc"];
es -> es [label="R (one occurrence)", color="#000000"]; es -> es [label="R (one occurrence)", color="#a9b492"];
es -> pure [label="Gc (x not in fv)", color="#000000"]; es -> pure [label="Gc (x not in fv)", color="#8fb071"];
pure -> pure [label="B under context", color="#000000"]; pure -> pure [label="B under context", color="#dfe7cc"];
es -> nf [label="R/Gc normalisation", color="#000000"]; es -> nf [label="R/Gc normalisation", color="#a9b492"];
} }
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graphs/rules.svg
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<g id="node2" class="node"> <g id="node2" class="node">
<title>beta</title> <title>beta</title>
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<g id="edge1" class="edge"> <g id="edge1" class="edge">
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<g id="edge2" class="edge"> <g id="edge2" class="edge">
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<path fill="none" stroke="#000000" d="M107.57,-170.15C117.35,-170.31 125.33,-167.81 125.33,-162.65 125.33,-159.51 122.37,-157.36 117.84,-156.19"/> <path fill="none" stroke="#a9b492" d="M107.57,-170.15C117.35,-170.31 125.33,-167.81 125.33,-162.65 125.33,-159.51 122.37,-157.36 117.84,-156.19"/>
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<text text-anchor="middle" x="169.33" y="-160.45" font-family="Inter" font-size="9.00" fill="#000000">R (one occurrence)</text> <text text-anchor="middle" x="169.33" y="-160.45" font-family="Inter" font-size="9.00" fill="#c9d1bb">R (one occurrence)</text>
</g> </g>
<!-- es&#45;&gt;pure --> <!-- es&#45;&gt;pure -->
<g id="edge6" class="edge"> <g id="edge6" class="edge">
<title>es&#45;&gt;pure</title> <title>es&#45;&gt;pure</title>
<path fill="none" stroke="#000000" d="M107.51,-146.64C116.77,-140.95 126.9,-134.04 135.33,-126.65 152.88,-111.26 169.72,-90.88 181.71,-75.05"/> <path fill="none" stroke="#8fb071" d="M107.51,-146.64C116.77,-140.95 126.9,-134.04 135.33,-126.65 152.88,-111.26 169.72,-90.88 181.71,-75.05"/>
<polygon fill="#000000" stroke="#000000" points="184.7,-76.9 187.85,-66.78 179.08,-72.72 184.7,-76.9"/> <polygon fill="#8fb071" stroke="#8fb071" points="184.7,-76.9 187.85,-66.78 179.08,-72.72 184.7,-76.9"/>
<text text-anchor="middle" x="178.83" y="-119.45" font-family="Inter" font-size="9.00" fill="#000000">Gc (x not in fv)</text> <text text-anchor="middle" x="178.83" y="-119.45" font-family="Inter" font-size="9.00" fill="#c9d1bb">Gc (x not in fv)</text>
</g> </g>
<!-- nf --> <!-- nf -->
<g id="node5" class="node"> <g id="node5" class="node">
<title>nf</title> <title>nf</title>
<ellipse fill="#ffffff" stroke="#000000" cx="49.33" cy="-49.33" rx="45.17" ry="45.17"/> <ellipse fill="#2a3a22" stroke="#8fb071" cx="49.33" cy="-49.33" rx="45.17" ry="45.17"/>
<ellipse fill="none" stroke="#000000" cx="49.33" cy="-49.33" rx="49.15" ry="49.15"/> <ellipse fill="none" stroke="#8fb071" cx="49.33" cy="-49.33" rx="49.15" ry="49.15"/>
<text text-anchor="middle" x="49.33" y="-46.83" font-family="Inter" font-size="10.00" fill="#000000">normal form</text> <text text-anchor="middle" x="49.33" y="-46.83" font-family="Inter" font-size="10.00" fill="#c9d1bb">normal form</text>
</g> </g>
<!-- es&#45;&gt;nf --> <!-- es&#45;&gt;nf -->
<g id="edge8" class="edge"> <g id="edge8" class="edge">
<title>es&#45;&gt;nf</title> <title>es&#45;&gt;nf</title>
<path fill="none" stroke="#000000" d="M61.42,-144.37C56.94,-139.16 52.76,-133.09 50.33,-126.65 48.2,-121.01 46.8,-114.97 45.93,-108.84"/> <path fill="none" stroke="#a9b492" d="M61.42,-144.37C56.94,-139.16 52.76,-133.09 50.33,-126.65 48.2,-121.01 46.8,-114.97 45.93,-108.84"/>
<polygon fill="#000000" stroke="#000000" points="49.37,-108.13 44.93,-98.51 42.41,-108.79 49.37,-108.13"/> <polygon fill="#a9b492" stroke="#a9b492" points="49.37,-108.13 44.93,-98.51 42.41,-108.79 49.37,-108.13"/>
<text text-anchor="middle" x="92.83" y="-119.45" font-family="Inter" font-size="9.00" fill="#000000">R/Gc normalisation</text> <text text-anchor="middle" x="92.83" y="-119.45" font-family="Inter" font-size="9.00" fill="#c9d1bb">R/Gc normalisation</text>
</g> </g>
<!-- pure&#45;&gt;pure --> <!-- pure&#45;&gt;pure -->
<g id="edge7" class="edge"> <g id="edge7" class="edge">
<title>pure&#45;&gt;pure</title> <title>pure&#45;&gt;pure</title>
<path fill="none" stroke="#000000" d="M226.25,-62.13C241.48,-64.64 255.59,-60.37 255.59,-49.33 255.59,-40.79 247.15,-36.3 236.28,-35.86"/> <path fill="none" stroke="#dfe7cc" d="M226.25,-62.13C241.48,-64.64 255.59,-60.37 255.59,-49.33 255.59,-40.79 247.15,-36.3 236.28,-35.86"/>
<polygon fill="#000000" stroke="#000000" points="236,-32.37 226.25,-36.52 236.45,-39.36 236,-32.37"/> <polygon fill="#dfe7cc" stroke="#dfe7cc" points="236,-32.37 226.25,-36.52 236.45,-39.36 236,-32.37"/>
<text text-anchor="middle" x="292.59" y="-47.13" font-family="Inter" font-size="9.00" fill="#000000">B under context</text> <text text-anchor="middle" x="292.59" y="-47.13" font-family="Inter" font-size="9.00" fill="#c9d1bb">B under context</text>
</g> </g>
</g> </g>
</svg> </svg>
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scripts/gen_graphs.py
+14 -12
View File
@@ -9,16 +9,18 @@ ROOT = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))
GRAPH_DIR = os.path.join(ROOT, "graphs") GRAPH_DIR = os.path.join(ROOT, "graphs")
META = os.path.join(GRAPH_DIR, "theorems.json") META = os.path.join(GRAPH_DIR, "theorems.json")
INK = "#000000" # Dark sage palette, transparent so the diagrams sit on the page background.
MUTED = "#000000" INK = "#a9b492"
FONT = "#000000" MUTED = "#8f9780"
FILL = "#ffffff" FONT = "#c9d1bb"
EXT_FILL = "#ffffff" FILL = "transparent"
NF_FILL = "#ffffff" EXT_FILL = "transparent"
NF_FILL = "#2a3a22"
RULE_B = "#000000" # Distinct sage tones for the rule sketches.
RULE_R = "#000000" RULE_B = "#dfe7cc"
RULE_G = "#000000" RULE_R = "#a9b492"
RULE_G = "#8fb071"
def q(s): def q(s):
@@ -68,7 +70,7 @@ def dep_header(title):
return [ return [
"digraph deps {", "digraph deps {",
" rankdir=LR;", " rankdir=LR;",
' bgcolor="#ffffff";', ' bgcolor="transparent";',
" splines=polyline;", " splines=polyline;",
" concentrate=true;", " concentrate=true;",
" nodesep=0.2;", " nodesep=0.2;",
@@ -132,7 +134,7 @@ def rules_dot():
lines = [ lines = [
"digraph lambda_sub_cfg {", "digraph lambda_sub_cfg {",
" rankdir=TB;", " rankdir=TB;",
' bgcolor="#ffffff";', ' bgcolor="transparent";',
' node [fontname=Inter, fontsize=10, fontcolor="%s"];' % FONT, ' node [fontname=Inter, fontsize=10, fontcolor="%s"];' % FONT,
' edge [fontname=Inter, fontsize=9, color="%s", fontcolor="%s"];' % (MUTED, FONT), ' edge [fontname=Inter, fontsize=9, color="%s", fontcolor="%s"];' % (MUTED, FONT),
' start [label="term", shape=oval, style=filled, fillcolor="%s", color="%s"];' % (FILL, INK), ' start [label="term", shape=oval, style=filled, fillcolor="%s", color="%s"];' % (FILL, INK),
@@ -158,7 +160,7 @@ def reduction_dot():
lines = [ lines = [
"digraph reduction_dup {", "digraph reduction_dup {",
" rankdir=LR;", " rankdir=LR;",
' bgcolor="#ffffff";', ' bgcolor="transparent";',
' node [fontname=Inter, fontsize=10, fontcolor="%s"];' % FONT, ' node [fontname=Inter, fontsize=10, fontcolor="%s"];' % FONT,
' edge [fontname=Inter, fontsize=9, color="%s", fontcolor="%s"];' % (MUTED, FONT), ' edge [fontname=Inter, fontsize=9, color="%s", fontcolor="%s"];' % (MUTED, FONT),
' graph [labelloc=t, fontcolor="%s", label="(lambda x. x x) y reduction graph"];' % FONT, ' graph [labelloc=t, fontcolor="%s", label="(lambda x. x x) y reduction graph"];' % FONT,