add(index): a generated plain text index of every result with its status and file (tooling)
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@@ -6,7 +6,7 @@ digraph theorem_deps {
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ranksep=0.6;
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node [fontname=Inter, fontsize=9, fontcolor="#222222"];
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edge [fontname=Inter, fontsize=8, color="#9a9a9a", arrowsize=0.6, penwidth=0.8];
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graph [fontname=Inter, fontsize=12, labelloc=t, label=<<B>Milner's Lambda-Calculus with Partial Substitutions - theorem dependency (M2)</B><BR/><FONT POINT-SIZE="9"><FONT COLOR="#38761d">proved</FONT> <FONT COLOR="#b45f06">stated</FONT> <FONT COLOR="#777777">planned</FONT> <FONT COLOR="#cc0000">blocked</FONT></FONT>>];
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graph [fontname=Inter, fontsize=12, labelloc=t, label=<<B>Milner's Lambda-Calculus with Partial Substitutions - theorem dependency (M4)</B><BR/><FONT POINT-SIZE="9"><FONT COLOR="#38761d">proved</FONT> <FONT COLOR="#b45f06">stated</FONT> <FONT COLOR="#777777">planned</FONT> <FONT COLOR="#cc0000">blocked</FONT></FONT>>];
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fvs_lift [label="fvs_lift", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="fvs_lift theory/Binding.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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lift_lc [label="lift_lc", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="lift_lc theory/Binding.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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lift_0_lc [label="lift_0_lc", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="lift_0_lc theory/Binding.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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@@ -21,6 +21,17 @@ digraph theorem_deps {
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subst_fvar_self [label="subst_fvar_self", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="subst_fvar_self theory/Binding.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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subst_fvar_other [label="subst_fvar_other", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="subst_fvar_other theory/Binding.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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subst_fvs [label="subst_fvs", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="subst_fvs theory/Binding.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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Star_trans [label="Star_trans", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Star_trans theory/Closure.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red1_star [label="red1_star", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red1_star theory/Closure.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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Plus_to_Star [label="Plus_to_Star", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Plus_to_Star theory/Closure.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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Star_red1_context [label="Star_red1_context", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Star_red1_context theory/Closure.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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star_one_trans [label="star_one_trans", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="star_one_trans theory/Closure.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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in_comb [label="in_comb", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="in_comb theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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pow2_pos [label="pow2_pos", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="pow2_pos theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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size_all_terms [label="size_all_terms", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="size_all_terms theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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enumerate_check [label="enumerate_check", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="enumerate_check theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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enumerate_sound [label="enumerate_sound", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="enumerate_sound theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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enumerate_complete [label="enumerate_complete", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="enumerate_complete theory/Enumerate.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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Plus_red1_context [label="Plus_red1_context", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Plus_red1_context theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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occurs_count_zero [label="occurs_count_zero", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="occurs_count_zero theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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occurs_count_false [label="occurs_count_false", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="occurs_count_false theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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@@ -37,6 +48,8 @@ digraph theorem_deps {
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red1r_fv [label="red1r_fv", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red1r_fv theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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lemma_2_1_fv_preserved [label="lemma_2_1_fv_preserved", color="#38761d", fillcolor="#d9ead3", style="rounded,filled", fontcolor="#222222", tooltip="lemma_2_1_fv_preserved (section 2.1) theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=box];
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lemma_2_3_beta_sim [label="lemma_2_3_beta_sim", color="#38761d", fillcolor="#d9ead3", style="rounded,filled", fontcolor="#222222", tooltip="lemma_2_3_beta_sim (section 2.3) theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=box];
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Plus_trans [label="Plus_trans", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Plus_trans theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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Plus_step_trans [label="Plus_step_trans", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Plus_step_trans theory/Metatheory.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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par_red1_iff [label="par_red1_iff", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="par_red1_iff theory/Parallel.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red1_in_par [label="red1_in_par", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red1_in_par theory/Parallel.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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par_context [label="par_context", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="par_context theory/Parallel.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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@@ -65,6 +78,9 @@ digraph theorem_deps {
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has_red_f [label="has_red_f", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="has_red_f theory/Reduction.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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has_red_spec [label="has_red_spec", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="has_red_spec theory/Reduction.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red1_dec [label="red1_dec", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red1_dec theory/Reduction.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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nf_iff_steps_nil [label="nf_iff_steps_nil", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="nf_iff_steps_nil theory/Reduction.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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normal_form_iff_nf [label="normal_form_iff_nf", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="normal_form_iff_nf theory/Reduction.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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nf_dec [label="nf_dec", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="nf_dec theory/Reduction.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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open_rec_app [label="open_rec_app", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="open_rec_app theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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open_rec_lam [label="open_rec_lam", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="open_rec_lam theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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open_rec_esub [label="open_rec_esub", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="open_rec_esub theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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@@ -77,6 +93,8 @@ digraph theorem_deps {
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subst_notin [label="subst_notin", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="subst_notin theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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subst_lc_self [label="subst_lc_self", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="subst_lc_self theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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subst_other [label="subst_other", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="subst_other theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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open_rec_lc_atom [label="open_rec_lc_atom", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="open_rec_lc_atom theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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open_rec_lc [label="open_rec_lc", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="open_rec_lc theory/Substitution.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red_sub_root_to_red1 [label="red_sub_root_to_red1", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red_sub_root_to_red1 theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red_sub_to_red1 [label="red_sub_to_red1", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red_sub_to_red1 theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red_sub_context [label="red_sub_context", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red_sub_context theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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@@ -85,6 +103,14 @@ digraph theorem_deps {
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occurs_zfill [label="occurs_zfill", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="occurs_zfill theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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zfill_occurs0 [label="zfill_occurs0", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="zfill_occurs0 theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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R_Gc_disjoint [label="R_Gc_disjoint", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="R_Gc_disjoint theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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Star_red_sub_context [label="Star_red_sub_context", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Star_red_sub_context theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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full_comp_aux_sub [label="full_comp_aux_sub", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="full_comp_aux_sub theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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plus_red_sub_full_comp [label="plus_red_sub_full_comp", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="plus_red_sub_full_comp theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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star_red_sub_full_comp [label="star_red_sub_full_comp", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="star_red_sub_full_comp theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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es_count_plug_mono [label="es_count_plug_mono", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="es_count_plug_mono theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red_gc_measure [label="red_gc_measure", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red_gc_measure theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red_gc_terminates [label="red_gc_terminates", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red_gc_terminates theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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red_gc_to_red_sub [label="red_gc_to_red_sub", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="red_gc_to_red_sub theory/Subsystem.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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corpus_sound [label="corpus_sound", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="corpus_sound theory/Tests.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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corpus_complete [label="corpus_complete", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="corpus_complete theory/Tests.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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corpus_decides [label="corpus_decides", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="corpus_decides theory/Tests.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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@@ -97,6 +123,11 @@ digraph theorem_deps {
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lift_0_lc -> subst_fvar_self;
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close_rec_fvs -> subst_fvs;
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open_rec_fvs -> subst_fvs;
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in_comb -> size_all_terms;
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pow2_pos -> size_all_terms;
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check_all_true -> enumerate_check;
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steps_sound -> enumerate_sound;
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steps_complete -> enumerate_complete;
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occurs_count_zero -> occurs_count_pos;
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occurs_count_false -> occurs_count_zfill_plug;
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occurs_lift_self -> occurs_count_zfill_plug;
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@@ -140,13 +171,33 @@ digraph theorem_deps {
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steps_complete -> has_red_spec;
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steps_sound -> has_red_spec;
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has_red_spec -> red1_dec;
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steps_complete -> nf_iff_steps_nil;
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steps_sound_red1 -> nf_iff_steps_nil;
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nf_iff_steps_nil -> normal_form_iff_nf;
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nf_iff_steps_nil -> nf_dec;
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close_rec_notin -> subst_notin;
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open_rec_occurs_false -> subst_notin;
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subst_fvar_self -> subst_lc_self;
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subst_fvar_other -> subst_other;
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open_rec_lc_atom -> open_rec_lc;
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red_sub_root_to_red1 -> red_sub_to_red1;
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occurs_zfill -> zfill_occurs0;
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zfill_occurs0 -> R_Gc_disjoint;
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red_sub_context -> Star_red_sub_context;
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occurs_count_zero -> full_comp_aux_sub;
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occurs_count_zfill_plug -> full_comp_aux_sub;
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open_rec_occurs_false -> full_comp_aux_sub;
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open_rec_zplug_lift -> full_comp_aux_sub;
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red_sub_gc -> full_comp_aux_sub;
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red_sub_r -> full_comp_aux_sub;
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zdecs_nonempty -> full_comp_aux_sub;
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zdecs_sound -> full_comp_aux_sub;
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full_comp_aux_sub -> plus_red_sub_full_comp;
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Plus_to_Star -> star_red_sub_full_comp;
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plus_red_sub_full_comp -> star_red_sub_full_comp;
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es_count_plug_mono -> red_gc_measure;
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red_gc_measure -> red_gc_terminates;
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red_sub_gc -> red_gc_to_red_sub;
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steps_sound -> corpus_sound;
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steps_complete -> corpus_complete;
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has_red_spec -> corpus_decides;
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@@ -0,0 +1,109 @@
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status milestone kind name file
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proved M1 infra at_ctx_comp theory/Reduction.v
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proved M1 infra close_rec_fvar theory/Binding.v
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proved M1 infra close_rec_fvs theory/Binding.v
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proved M1 infra close_rec_notin theory/Binding.v
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proved M1 infra fvs_lift theory/Binding.v
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proved M1 infra has_red_f theory/Reduction.v
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proved M1 infra has_red_spec theory/Reduction.v
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proved M1 infra lift_0_lc theory/Binding.v
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proved M1 infra lift_lc theory/Binding.v
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proved M1 infra nf_dec theory/Reduction.v
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proved M1 infra nf_iff_steps_nil theory/Reduction.v
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proved M1 infra normal_form_iff_nf theory/Reduction.v
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proved M1 infra open_close theory/Binding.v
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proved M1 infra open_rec_bvar theory/Binding.v
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proved M1 infra open_rec_bvar_neq theory/Binding.v
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proved M1 infra open_rec_fvs theory/Binding.v
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proved M1 infra open_rec_occurs_false theory/Binding.v
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proved M1 infra plug_comp theory/Reduction.v
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proved M1 infra positions_at theory/Reduction.v
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proved M1 infra positions_comp theory/Reduction.v
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proved M1 infra positions_hole theory/Reduction.v
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proved M1 infra red1_dec theory/Reduction.v
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proved M1 infra root_steps_complete theory/Reduction.v
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proved M1 infra root_steps_in_steps theory/Reduction.v
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proved M1 infra root_steps_sound theory/Reduction.v
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proved M1 infra steps_complete theory/Reduction.v
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proved M1 infra steps_sound theory/Reduction.v
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proved M1 infra steps_sound_red1 theory/Reduction.v
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proved M1 infra subst_fvar_other theory/Binding.v
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proved M1 infra subst_fvar_self theory/Binding.v
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proved M1 infra subst_fvs theory/Binding.v
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proved M1 infra zdecs_complete theory/Reduction.v
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proved M1 infra zdecs_sound theory/Reduction.v
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proved M2 infra Plus_red1_context theory/Metatheory.v
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proved M2 infra Plus_step_trans theory/Metatheory.v
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proved M2 infra Plus_to_Star theory/Closure.v
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proved M2 infra Plus_trans theory/Metatheory.v
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proved M2 infra Star_red1_context theory/Closure.v
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proved M2 infra Star_trans theory/Closure.v
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proved M2 infra check_all_true theory/Random.v
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proved M2 infra check_term_true theory/Random.v
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proved M2 infra close_rec_app theory/Substitution.v
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proved M2 infra close_rec_esub theory/Substitution.v
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proved M2 infra close_rec_lam theory/Substitution.v
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proved M2 infra corpus_complete theory/Tests.v
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proved M2 infra corpus_decides theory/Tests.v
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proved M2 infra corpus_fv_preserved theory/Tests.v
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proved M2 infra corpus_sound theory/Tests.v
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proved M2 infra enumerate_check theory/Enumerate.v
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proved M2 infra enumerate_complete theory/Enumerate.v
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proved M2 infra enumerate_sound theory/Enumerate.v
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proved M2 infra full_comp_aux theory/Metatheory.v
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proved M2 infra fvs_zplug_lift theory/Metatheory.v
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proved M2 infra gen_complete theory/Random.v
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proved M2 infra gen_fv_preserved theory/Random.v
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proved M2 infra gen_list_length theory/Random.v
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proved M2 infra gen_sound theory/Random.v
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proved M2 infra in_comb theory/Enumerate.v
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proved M2 paper lemma_2_1_fv_preserved theory/Metatheory.v
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proved M2 paper lemma_2_2_full_comp theory/Metatheory.v
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proved M2 paper lemma_2_3_beta_sim theory/Metatheory.v
|
||||
proved M2 infra occurs_count_false theory/Metatheory.v
|
||||
proved M2 infra occurs_count_pos theory/Metatheory.v
|
||||
proved M2 infra occurs_count_zero theory/Metatheory.v
|
||||
proved M2 infra occurs_count_zfill_plug theory/Metatheory.v
|
||||
proved M2 infra occurs_lift_self theory/Metatheory.v
|
||||
proved M2 infra open_rec_app theory/Substitution.v
|
||||
proved M2 infra open_rec_esub theory/Substitution.v
|
||||
proved M2 infra open_rec_lam theory/Substitution.v
|
||||
proved M2 infra open_rec_lc theory/Substitution.v
|
||||
proved M2 infra open_rec_lc_atom theory/Substitution.v
|
||||
proved M2 infra open_rec_zplug_lift theory/Metatheory.v
|
||||
proved M2 infra plug_fv_mono theory/Metatheory.v
|
||||
proved M2 infra pow2_pos theory/Enumerate.v
|
||||
proved M2 infra red1_root_fv theory/Metatheory.v
|
||||
proved M2 infra red1_star theory/Closure.v
|
||||
proved M2 infra red1r_fv theory/Metatheory.v
|
||||
proved M2 infra size_all_terms theory/Enumerate.v
|
||||
proved M2 infra star_one_trans theory/Closure.v
|
||||
proved M2 infra subst_app theory/Substitution.v
|
||||
proved M2 infra subst_esub theory/Substitution.v
|
||||
proved M2 infra subst_lam theory/Substitution.v
|
||||
proved M2 infra subst_lc_self theory/Substitution.v
|
||||
proved M2 infra subst_notin theory/Substitution.v
|
||||
proved M2 infra subst_other theory/Substitution.v
|
||||
proved M2 infra zdecs_nonempty theory/Metatheory.v
|
||||
proved M3 infra R_Gc_disjoint theory/Subsystem.v
|
||||
proved M3 infra Star_red_sub_context theory/Subsystem.v
|
||||
proved M3 infra es_count_plug_mono theory/Subsystem.v
|
||||
proved M3 infra full_comp_aux_sub theory/Subsystem.v
|
||||
proved M3 infra occurs_zfill theory/Subsystem.v
|
||||
proved M3 infra plus_red_sub_full_comp theory/Subsystem.v
|
||||
proved M3 infra red_gc_measure theory/Subsystem.v
|
||||
proved M3 infra red_gc_terminates theory/Subsystem.v
|
||||
proved M3 infra red_gc_to_red_sub theory/Subsystem.v
|
||||
proved M3 infra red_sub_context theory/Subsystem.v
|
||||
proved M3 infra red_sub_gc theory/Subsystem.v
|
||||
proved M3 infra red_sub_r theory/Subsystem.v
|
||||
proved M3 infra red_sub_root_to_red1 theory/Subsystem.v
|
||||
proved M3 infra red_sub_to_red1 theory/Subsystem.v
|
||||
proved M3 infra star_red_sub_full_comp theory/Subsystem.v
|
||||
proved M3 infra zfill_occurs0 theory/Subsystem.v
|
||||
proved M4 infra par_context theory/Parallel.v
|
||||
proved M4 infra par_red1_iff theory/Parallel.v
|
||||
proved M4 infra par_reflexive theory/Parallel.v
|
||||
proved M4 infra par_to_red1_or_eq theory/Parallel.v
|
||||
proved M4 infra red1_in_par theory/Parallel.v
|
||||
proved M4 infra red1_or_eq_to_par theory/Parallel.v
|
||||
+336
-35
@@ -9,11 +9,12 @@
|
||||
"html": "https://arxiv.org/html/2312.13270v1"
|
||||
},
|
||||
"milestones": [
|
||||
"M0",
|
||||
"M1",
|
||||
"M2"
|
||||
"M2",
|
||||
"M3",
|
||||
"M4"
|
||||
],
|
||||
"current": "M2",
|
||||
"current": "M4",
|
||||
"nodes": [
|
||||
{
|
||||
"id": "fvs_lift",
|
||||
@@ -168,6 +169,125 @@
|
||||
"open_rec_fvs"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "Star_trans",
|
||||
"label": "Star_trans",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Closure.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "red1_star",
|
||||
"label": "red1_star",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Closure.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "Plus_to_Star",
|
||||
"label": "Plus_to_Star",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Closure.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "Star_red1_context",
|
||||
"label": "Star_red1_context",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Closure.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "star_one_trans",
|
||||
"label": "star_one_trans",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Closure.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "in_comb",
|
||||
"label": "in_comb",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Enumerate.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "pow2_pos",
|
||||
"label": "pow2_pos",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Enumerate.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "size_all_terms",
|
||||
"label": "size_all_terms",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Enumerate.v",
|
||||
"depends": [
|
||||
"in_comb",
|
||||
"pow2_pos"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "enumerate_check",
|
||||
"label": "enumerate_check",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Enumerate.v",
|
||||
"depends": [
|
||||
"check_all_true"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "enumerate_sound",
|
||||
"label": "enumerate_sound",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Enumerate.v",
|
||||
"depends": [
|
||||
"steps_sound"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "enumerate_complete",
|
||||
"label": "enumerate_complete",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Enumerate.v",
|
||||
"depends": [
|
||||
"steps_complete"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "Plus_red1_context",
|
||||
"label": "Plus_red1_context",
|
||||
@@ -357,12 +477,32 @@
|
||||
"lemma_2_2_full_comp"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "Plus_trans",
|
||||
"label": "Plus_trans",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Metatheory.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "Plus_step_trans",
|
||||
"label": "Plus_step_trans",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Metatheory.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "par_red1_iff",
|
||||
"label": "par_red1_iff",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M4",
|
||||
"section": "",
|
||||
"file": "theory/Parallel.v",
|
||||
"depends": []
|
||||
@@ -372,7 +512,7 @@
|
||||
"label": "red1_in_par",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M4",
|
||||
"section": "",
|
||||
"file": "theory/Parallel.v",
|
||||
"depends": []
|
||||
@@ -382,7 +522,7 @@
|
||||
"label": "par_context",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M4",
|
||||
"section": "",
|
||||
"file": "theory/Parallel.v",
|
||||
"depends": []
|
||||
@@ -392,7 +532,7 @@
|
||||
"label": "par_to_red1_or_eq",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M4",
|
||||
"section": "",
|
||||
"file": "theory/Parallel.v",
|
||||
"depends": [
|
||||
@@ -404,7 +544,7 @@
|
||||
"label": "red1_or_eq_to_par",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M4",
|
||||
"section": "",
|
||||
"file": "theory/Parallel.v",
|
||||
"depends": [
|
||||
@@ -416,7 +556,7 @@
|
||||
"label": "par_reflexive",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M4",
|
||||
"section": "",
|
||||
"file": "theory/Parallel.v",
|
||||
"depends": []
|
||||
@@ -426,7 +566,7 @@
|
||||
"label": "gen_list_length",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Random.v",
|
||||
"depends": []
|
||||
@@ -436,7 +576,7 @@
|
||||
"label": "check_term_true",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Random.v",
|
||||
"depends": [
|
||||
@@ -449,7 +589,7 @@
|
||||
"label": "check_all_true",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Random.v",
|
||||
"depends": [
|
||||
@@ -461,7 +601,7 @@
|
||||
"label": "gen_sound",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Random.v",
|
||||
"depends": [
|
||||
@@ -473,7 +613,7 @@
|
||||
"label": "gen_complete",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Random.v",
|
||||
"depends": [
|
||||
@@ -485,7 +625,7 @@
|
||||
"label": "gen_fv_preserved",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Random.v",
|
||||
"depends": [
|
||||
@@ -676,12 +816,49 @@
|
||||
"has_red_spec"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "nf_iff_steps_nil",
|
||||
"label": "nf_iff_steps_nil",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M1",
|
||||
"section": "",
|
||||
"file": "theory/Reduction.v",
|
||||
"depends": [
|
||||
"steps_complete",
|
||||
"steps_sound_red1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "normal_form_iff_nf",
|
||||
"label": "normal_form_iff_nf",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M1",
|
||||
"section": "",
|
||||
"file": "theory/Reduction.v",
|
||||
"depends": [
|
||||
"nf_iff_steps_nil"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "nf_dec",
|
||||
"label": "nf_dec",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M1",
|
||||
"section": "",
|
||||
"file": "theory/Reduction.v",
|
||||
"depends": [
|
||||
"nf_iff_steps_nil"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "open_rec_app",
|
||||
"label": "open_rec_app",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -691,7 +868,7 @@
|
||||
"label": "open_rec_lam",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -701,7 +878,7 @@
|
||||
"label": "open_rec_esub",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -711,7 +888,7 @@
|
||||
"label": "close_rec_app",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -721,7 +898,7 @@
|
||||
"label": "close_rec_lam",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -731,7 +908,7 @@
|
||||
"label": "close_rec_esub",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -741,7 +918,7 @@
|
||||
"label": "subst_app",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -751,7 +928,7 @@
|
||||
"label": "subst_lam",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -761,7 +938,7 @@
|
||||
"label": "subst_esub",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
@@ -771,7 +948,7 @@
|
||||
"label": "subst_notin",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": [
|
||||
@@ -784,7 +961,7 @@
|
||||
"label": "subst_lc_self",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": [
|
||||
@@ -796,19 +973,41 @@
|
||||
"label": "subst_other",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": [
|
||||
"subst_fvar_other"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "open_rec_lc_atom",
|
||||
"label": "open_rec_lc_atom",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "open_rec_lc",
|
||||
"label": "open_rec_lc",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M2",
|
||||
"section": "",
|
||||
"file": "theory/Substitution.v",
|
||||
"depends": [
|
||||
"open_rec_lc_atom"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "red_sub_root_to_red1",
|
||||
"label": "red_sub_root_to_red1",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": []
|
||||
@@ -818,7 +1017,7 @@
|
||||
"label": "red_sub_to_red1",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
@@ -830,7 +1029,7 @@
|
||||
"label": "red_sub_context",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": []
|
||||
@@ -840,7 +1039,7 @@
|
||||
"label": "red_sub_gc",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": []
|
||||
@@ -850,7 +1049,7 @@
|
||||
"label": "red_sub_r",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": []
|
||||
@@ -860,7 +1059,7 @@
|
||||
"label": "occurs_zfill",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": []
|
||||
@@ -870,7 +1069,7 @@
|
||||
"label": "zfill_occurs0",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
@@ -882,13 +1081,115 @@
|
||||
"label": "R_Gc_disjoint",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M0",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"zfill_occurs0"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "Star_red_sub_context",
|
||||
"label": "Star_red_sub_context",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"red_sub_context"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "full_comp_aux_sub",
|
||||
"label": "full_comp_aux_sub",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"occurs_count_zero",
|
||||
"occurs_count_zfill_plug",
|
||||
"open_rec_occurs_false",
|
||||
"open_rec_zplug_lift",
|
||||
"red_sub_gc",
|
||||
"red_sub_r",
|
||||
"zdecs_nonempty",
|
||||
"zdecs_sound"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "plus_red_sub_full_comp",
|
||||
"label": "plus_red_sub_full_comp",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"full_comp_aux_sub"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "star_red_sub_full_comp",
|
||||
"label": "star_red_sub_full_comp",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"Plus_to_Star",
|
||||
"plus_red_sub_full_comp"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "es_count_plug_mono",
|
||||
"label": "es_count_plug_mono",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": []
|
||||
},
|
||||
{
|
||||
"id": "red_gc_measure",
|
||||
"label": "red_gc_measure",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"es_count_plug_mono"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "red_gc_terminates",
|
||||
"label": "red_gc_terminates",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"red_gc_measure"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "red_gc_to_red_sub",
|
||||
"label": "red_gc_to_red_sub",
|
||||
"kind": "infra",
|
||||
"status": "proved",
|
||||
"milestone": "M3",
|
||||
"section": "",
|
||||
"file": "theory/Subsystem.v",
|
||||
"depends": [
|
||||
"red_sub_gc"
|
||||
]
|
||||
},
|
||||
{
|
||||
"id": "corpus_sound",
|
||||
"label": "corpus_sound",
|
||||
|
||||
Reference in new issue
Block a user