X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FHaskStrongTypes.v;fp=src%2FHaskStrongTypes.v;h=f8493b461a127ec2c7afe145dce24b7b09ad98db;hp=e721de905f7c3be750fd0ce7fd2665edeae29fc5;hb=539d675a181f178e24c15b2a6ad3c990492eed79;hpb=8f00501ac48984925832279f7d67302c09a570ec diff --git a/src/HaskStrongTypes.v b/src/HaskStrongTypes.v index e721de9..f8493b4 100644 --- a/src/HaskStrongTypes.v +++ b/src/HaskStrongTypes.v @@ -385,13 +385,35 @@ Notation "a ∼∼∼ b" := (@mkHaskCoercionKind _ _ a b) (at level 18). Fixpoint update_ξ `{EQD_VV:EqDecidable VV}{Γ} (ξ:VV -> LeveledHaskType Γ ★) - (vt:list (VV * LeveledHaskType Γ ★)) + (lev:HaskLevel Γ) + (vt:list (VV * HaskType Γ ★)) : VV -> LeveledHaskType Γ ★ := match vt with | nil => ξ - | (v,τ)::tl => fun v' => if eqd_dec v v' then τ else (update_ξ ξ tl) v' + | (v,τ)::tl => fun v' => if eqd_dec v v' then τ @@ lev else (update_ξ ξ lev tl) v' end. +Lemma update_ξ_lemma0 `{EQD_VV:EqDecidable VV} : forall Γ ξ (lev:HaskLevel Γ)(varstypes:list (VV*_)) v, + not (In v (map (@fst _ _) varstypes)) -> + (update_ξ ξ lev varstypes) v = ξ v. + intros. + induction varstypes. + reflexivity. + simpl. + destruct a. + destruct (eqd_dec v0 v). + subst. + simpl in H. + assert False. + apply H. + auto. + inversion H0. + apply IHvarstypes. + unfold not; intros. + apply H. + simpl. + auto. + Defined. (***************************************************************************************************)