X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FHaskProof.v;h=46009f85b30468fb5dfe5e5d21604989d664a0ca;hp=9787c62f94af7cdf0346dc0204bc207082e63b00;hb=c90b598203ef23bf8d44d6b5b4a5a4b5901039cf;hpb=1a2754d2e135ef3c5fd7ef817e1129af93b533a5 diff --git a/src/HaskProof.v b/src/HaskProof.v index 9787c62..46009f8 100644 --- a/src/HaskProof.v +++ b/src/HaskProof.v @@ -73,6 +73,10 @@ Inductive Rule : Tree ??Judg -> Tree ??Judg -> Type := | RLet : ∀ Γ Δ Σ₁ Σ₂ σ₁ σ₂ l, Rule ([Γ>Δ> Σ₁ |- [σ₁]@l],,[Γ>Δ> [σ₁@@l],,Σ₂ |- [σ₂]@l ]) [Γ>Δ> Σ₁,,Σ₂ |- [σ₂ ]@l] | RWhere : ∀ Γ Δ Σ₁ Σ₂ Σ₃ σ₁ σ₂ l, Rule ([Γ>Δ> Σ₁,,([σ₁@@l],,Σ₃) |- [σ₂]@l ],,[Γ>Δ> Σ₂ |- [σ₁]@l]) [Γ>Δ> Σ₁,,(Σ₂,,Σ₃) |- [σ₂ ]@l] +| RCut : ∀ Γ Δ Σ₁ Σ₁₂ Σ₂ Σ₃ l, Rule ([Γ>Δ> Σ₁ |- Σ₁₂ @l],,[Γ>Δ> (Σ₁₂@@@l),,Σ₂ |- Σ₃@l ]) [Γ>Δ> Σ₁,,Σ₂ |- Σ₃@l] +| RLeft : ∀ Γ Δ Σ₁ Σ₂ Σ l, Rule [Γ>Δ> Σ₁ |- Σ₂ @l] [Γ>Δ> (Σ@@@l),,Σ₁ |- Σ,,Σ₂@l] +| RRight : ∀ Γ Δ Σ₁ Σ₂ Σ l, Rule [Γ>Δ> Σ₁ |- Σ₂ @l] [Γ>Δ> Σ₁,,(Σ@@@l) |- Σ₂,,Σ@l] + | RVoid : ∀ Γ Δ l, Rule [] [Γ > Δ > [] |- [] @l ] | RAppT : forall Γ Δ Σ κ σ (τ:HaskType Γ κ) l, Rule [Γ>Δ> Σ |- [HaskTAll κ σ]@l] [Γ>Δ> Σ |- [substT σ τ]@l] @@ -147,6 +151,9 @@ Lemma no_rules_with_multiple_conclusions : forall c h, destruct X0; destruct s; inversion e. destruct X0; destruct s; inversion e. destruct X0; destruct s; inversion e. + destruct X0; destruct s; inversion e. + destruct X0; destruct s; inversion e. + destruct X0; destruct s; inversion e. Qed. Lemma systemfc_all_rules_one_conclusion : forall h c1 c2 (r:Rule h (c1,,c2)), False.