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add(metaterm): free variable laws for lifting opening and closing on metaterms (M5 binding)

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sneeker committed 2026-09-22 20:42:00 +02:00
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commit 9ac0b86de6
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graphs/dependency.dot
+10
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@@ -32,6 +32,14 @@ digraph theorem_deps {
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];
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];
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];
of_trm_fvs [label="of_trm_fvs", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_fvs theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
of_trm_lift [label="of_trm_lift", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_lift theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
of_trm_open [label="of_trm_open", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_open theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
of_trm_close [label="of_trm_close", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_close theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
of_trm_injective [label="of_trm_injective", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="of_trm_injective theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
mfvs_lift_m [label="mfvs_lift_m", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="mfvs_lift_m theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
mfvs_close_m [label="mfvs_close_m", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="mfvs_close_m theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
mfvs_open_m [label="mfvs_open_m", color="#38761d", fillcolor="#d9ead3", style="filled", fontcolor="#222222", tooltip="mfvs_open_m theory/Metaterm.v https://arxiv.org/html/2312.13270v1", shape=ellipse];
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];
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];
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];
@@ -128,6 +136,8 @@ digraph theorem_deps {
check_all_true -> enumerate_check;
steps_sound -> enumerate_sound;
steps_complete -> enumerate_complete;
of_trm_lift -> of_trm_open;
mfvs_lift_m -> mfvs_open_m;
occurs_count_zero -> occurs_count_pos;
occurs_count_false -> occurs_count_zfill_plug;
occurs_lift_self -> occurs_count_zfill_plug;
graphs/dependency.png
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graphs/dependency.svg
+415 -331
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graphs/theorems.json
+85
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@@ -9,6 +9,7 @@
"html": "https://arxiv.org/html/2312.13270v1"
},
"milestones": [
"M0",
"M1",
"M2",
"M3",
@@ -288,6 +289,90 @@
"steps_complete"
]
},
{
"id": "of_trm_fvs",
"label": "of_trm_fvs",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
},
{
"id": "of_trm_lift",
"label": "of_trm_lift",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
},
{
"id": "of_trm_open",
"label": "of_trm_open",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": [
"of_trm_lift"
]
},
{
"id": "of_trm_close",
"label": "of_trm_close",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
},
{
"id": "of_trm_injective",
"label": "of_trm_injective",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
},
{
"id": "mfvs_lift_m",
"label": "mfvs_lift_m",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
},
{
"id": "mfvs_close_m",
"label": "mfvs_close_m",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
},
{
"id": "mfvs_open_m",
"label": "mfvs_open_m",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"section": "",
"file": "theory/Metaterm.v",
"depends": [
"mfvs_lift_m"
]
},
{
"id": "Plus_red1_context",
"label": "Plus_red1_context",