Fix the typing rules
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3 changed files with 103 additions and 126 deletions
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@ -10,6 +10,13 @@ Inductive lookup : nat -> list PTm -> PTm -> Prop :=
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lookup i Γ A ->
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lookup (S i) (cons B Γ) (ren_PTm shift A).
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Lemma here' A Γ U : U = ren_PTm shift A -> lookup 0 (A :: Γ) U.
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Proof. move => ->. apply here. Qed.
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Lemma there' i Γ A B U : U = ren_PTm shift A -> lookup i Γ A ->
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lookup (S i) (cons B Γ) U.
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Proof. move => ->. apply there. Qed.
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Derive Inversion lookup_inv with (forall i Γ A, lookup i Γ A).
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Definition renaming_ok (Γ : list PTm) (Δ : list PTm) (ξ : nat -> nat) :=
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