add(named): free variable preservation for the named metaterm reduction (M5 metatheory)

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milner committed 2026-09-22 23:38:00 +02:00
1 parent 1a5c144ba7
commit 14d299fb22
5 files changed
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@@ -78,6 +78,11 @@ digraph theorem_deps {
Es_refl_any [label="Es_refl_any", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Es_refl_any theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
Es_sym_any [label="Es_sym_any", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Es_sym_any theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
Es_trans_any [label="Es_trans_any", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="Es_trans_any theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
in_filter_neq [label="in_filter_neq", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="in_filter_neq theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
filter_neq_in [label="filter_neq_in", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="filter_neq_in theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
nplug_fv_mono [label="nplug_fv_mono", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="nplug_fv_mono theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
nplug_fv_upper [label="nplug_fv_upper", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="nplug_fv_upper theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
nred_core_fv [label="nred_core_fv", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="nred_core_fv theory/NamedMeta.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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];
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];
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];
@@ -181,6 +186,14 @@ digraph theorem_deps {
red1r_fv -> lemma_2_1_fv_preserved;
Plus_red1_context -> lemma_2_3_beta_sim;
lemma_2_2_full_comp -> lemma_2_3_beta_sim;
filter_neq_in -> nplug_fv_mono;
in_filter_neq -> nplug_fv_mono;
filter_neq_in -> nplug_fv_upper;
in_filter_neq -> nplug_fv_upper;
filter_neq_in -> nred_core_fv;
in_filter_neq -> nred_core_fv;
nplug_fv_mono -> nred_core_fv;
nplug_fv_upper -> nred_core_fv;
par_red1_iff -> par_to_red1_or_eq;
par_red1_iff -> red1_or_eq_to_par;
has_red_spec -> check_term_true;
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@@ -789,6 +789,67 @@
"file": "theory/NamedMeta.v",
"depends": []
},
{
"id": "in_filter_neq",
"label": "in_filter_neq",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
},
{
"id": "filter_neq_in",
"label": "filter_neq_in",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
},
{
"id": "nplug_fv_mono",
"label": "nplug_fv_mono",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
"filter_neq_in",
"in_filter_neq"
]
},
{
"id": "nplug_fv_upper",
"label": "nplug_fv_upper",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
"filter_neq_in",
"in_filter_neq"
]
},
{
"id": "nred_core_fv",
"label": "nred_core_fv",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
"filter_neq_in",
"in_filter_neq",
"nplug_fv_mono",
"nplug_fv_upper"
]
},
{
"id": "par_red1_iff",
"label": "par_red1_iff",