X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FHaskStrongToProof.v;h=791fdf5aa400466048c3e9b81b45e646c18e5a89;hp=0ad9214c79e4c799bd01b03d2c1501e6d020c086;hb=b59a8ad4356f9ab4e3a7f2b005a05d0f340ac018;hpb=5deda3b8240059e9969a31706d89b8a3818b184c diff --git a/src/HaskStrongToProof.v b/src/HaskStrongToProof.v index 0ad9214..791fdf5 100644 --- a/src/HaskStrongToProof.v +++ b/src/HaskStrongToProof.v @@ -955,7 +955,7 @@ Lemma updating_stripped_tree_is_inert {Γ} (ξ:VV -> LeveledHaskType Γ ★) v t Inductive LetRecSubproofs Γ Δ ξ lev : forall tree, ELetRecBindings Γ Δ ξ lev tree -> Type := | lrsp_nil : LetRecSubproofs Γ Δ ξ lev [] (ELR_nil _ _ _ _) | lrsp_leaf : forall v t e , - (ND Rule [] [Γ > Δ > mapOptionTree ξ (expr2antecedent e) |- [t@@lev]]) -> + (ND Rule [] [Γ > Δ > mapOptionTree ξ (expr2antecedent e) |- [t]@lev]) -> LetRecSubproofs Γ Δ ξ lev [(v, t)] (ELR_leaf _ _ _ _ _ t e) | lrsp_cons : forall t1 t2 b1 b2, LetRecSubproofs Γ Δ ξ lev t1 b1 -> @@ -965,7 +965,7 @@ Inductive LetRecSubproofs Γ Δ ξ lev : forall tree, ELetRecBindings Γ Δ ξ l Lemma letRecSubproofsToND Γ Δ ξ lev tree branches : LetRecSubproofs Γ Δ ξ lev tree branches -> ND Rule [] [ Γ > Δ > mapOptionTree ξ (eLetRecContext branches) - |- (mapOptionTree (@snd _ _) tree) @@@ lev ]. + |- (mapOptionTree (@snd _ _) tree) @ lev ]. intro X; induction X; intros; simpl in *. apply nd_rule. apply RVoid. @@ -980,9 +980,9 @@ Lemma letRecSubproofsToND Γ Δ ξ lev tree branches : Lemma letRecSubproofsToND' Γ Δ ξ lev τ tree : forall branches body (dist:distinct (leaves (mapOptionTree (@fst _ _) tree))), - ND Rule [] [Γ > Δ > mapOptionTree (update_xi ξ lev (leaves tree)) (expr2antecedent body) |- [τ @@ lev]] -> + ND Rule [] [Γ > Δ > mapOptionTree (update_xi ξ lev (leaves tree)) (expr2antecedent body) |- [τ ]@ lev] -> LetRecSubproofs Γ Δ (update_xi ξ lev (leaves tree)) lev tree branches -> - ND Rule [] [Γ > Δ > mapOptionTree ξ (expr2antecedent (@ELetRec VV _ Γ Δ ξ lev τ tree dist branches body)) |- [τ @@ lev]]. + ND Rule [] [Γ > Δ > mapOptionTree ξ (expr2antecedent (@ELetRec VV _ Γ Δ ξ lev τ tree dist branches body)) |- [τ ]@ lev]. (* NOTE: how we interpret stuff here affects the order-of-side-effects *) intro branches. @@ -1021,7 +1021,7 @@ Lemma letRecSubproofsToND' Γ Δ ξ lev τ tree : simpl. rewrite <- mapOptionTree_compose in q''. rewrite <- ξlemma. - eapply nd_comp; [ idtac | eapply nd_rule; apply (RArrange _ _ _ _ _ q'') ]. + eapply nd_comp; [ idtac | eapply nd_rule; apply (RArrange _ _ _ _ _ _ q'') ]. clear q'. clear q''. simpl. @@ -1030,8 +1030,6 @@ Lemma letRecSubproofsToND' Γ Δ ξ lev τ tree : eapply nd_comp; [ idtac | eapply nd_rule; apply RJoin ]. eapply nd_comp; [ apply nd_rlecnac | idtac ]. apply nd_prod; auto. - rewrite ξlemma. - apply q. Defined. Lemma scbwv_coherent {tc}{Γ}{atypes:IList _ (HaskType Γ) _}{sac} : @@ -1097,10 +1095,10 @@ Lemma case_lemma : forall Γ Δ ξ l tc tbranches atypes e Definition expr2proof : forall Γ Δ ξ τ (e:Expr Γ Δ ξ τ), - ND Rule [] [Γ > Δ > mapOptionTree ξ (expr2antecedent e) |- [τ]]. + ND Rule [] [Γ > Δ > mapOptionTree ξ (expr2antecedent e) |- [unlev τ] @ getlev τ]. refine (fix expr2proof Γ' Δ' ξ' τ' (exp:Expr Γ' Δ' ξ' τ') {struct exp} - : ND Rule [] [Γ' > Δ' > mapOptionTree ξ' (expr2antecedent exp) |- [τ']] := + : ND Rule [] [Γ' > Δ' > mapOptionTree ξ' (expr2antecedent exp) |- [unlev τ'] @ getlev τ'] := match exp as E in Expr Γ Δ ξ τ with | EGlobal Γ Δ ξ g v lev => let case_EGlobal := tt in _ | EVar Γ Δ ξ ev => let case_EVar := tt in _