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Finish soundness proof

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Yiyun Liu 2025-02-08 22:52:50 -05:00
parent 0c83044d72
commit 932662d5d9
2 changed files with 12 additions and 5 deletions
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7
theories/soundness.v
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@ -5,7 +5,8 @@ From Hammer Require Import Tactics.
Theorem fundamental_theorem :
(forall n (Γ : fin n -> PTm n), ⊢ Γ -> ⊨ Γ) /\
(forall n Γ (a A : PTm n), Γ ⊢ a ∈ A -> Γ ⊨ a ∈ A) /\
(forall n Γ (a b A : PTm n), Γ ⊢ a ≡ b ∈ A -> Γ ⊨ a ≡ b ∈ A).
apply wt_mutual; eauto with sem;[idtac].
hauto l:on use:SE_Pair.
(forall n Γ (a b A : PTm n), Γ ⊢ a ≡ b ∈ A -> Γ ⊨ a ≡ b ∈ A) /\
(forall n Γ (a b : PTm n), Γ ⊢ a ≲ b -> Γ ⊨ a ≲ b).
apply wt_mutual; eauto with sem; [hauto l:on use:SE_Pair].
Unshelve. all : exact 0.
Qed.