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Move projection axioms to the subtyping relation

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Yiyun Liu 2025-02-06 21:40:26 -05:00
parent 2e2e41cbe6
commit 0e5b82b162
4 changed files with 96 additions and 21 deletions
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5
theories/logrel.v
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@ -1,5 +1,5 @@
Require Import Autosubst2.core Autosubst2.fintype Autosubst2.syntax.
Require Import fp_red.
Require Import common fp_red.
From Hammer Require Import Tactics.
From Equations Require Import Equations.
Require Import ssreflect ssrbool.
@ -488,9 +488,6 @@ Lemma ρ_ok_cons' n i (Γ : fin n -> PTm n) ρ a PA A Δ :
ρ_ok Δ (scons a ρ).
Proof. move => ->. apply ρ_ok_cons. Qed.
Definition renaming_ok {n m} (Γ : fin n -> PTm n) (Δ : fin m -> PTm m) (ξ : fin m -> fin n) :=
forall (i : fin m), ren_PTm ξ (Δ i) = Γ (ξ i).
Lemma ρ_ok_renaming n m (Γ : fin n -> PTm n) ρ :
forall (Δ : fin m -> PTm m) ξ,
renaming_ok Γ Δ ξ ->