+ Definition mkWeakTypeVar (u:Unique)(k:Kind) : WeakTypeVar :=
+ weakTypeVar (mkTyVar (mkSystemName u "tv" O) k) k.
+ Definition mkWeakCoerVar (u:Unique)(k:Kind)(t1 t2:WeakType) : WeakCoerVar :=
+ weakCoerVar (mkCoVar (mkSystemName u "cv" O) (weakTypeToCoreType t1) (weakTypeToCoreType t2)) k t1 t2.
+ Definition mkWeakExprVar (u:Unique)(t:WeakType) : WeakExprVar :=
+ weakExprVar (mkExVar (mkSystemName u "ev" O) (weakTypeToCoreType t)) t.
+
+ Context (hetmet_brak : WeakExprVar).
+ Context (hetmet_esc : WeakExprVar).
+ Context (uniqueSupply : UniqSupply).
+
+ Definition useUniqueSupply {T}(ut:UniqM T) : ???T :=
+ match ut with
+ uniqM f =>
+ f uniqueSupply >>= fun x => OK (snd x)
+ end.
+
+ Definition larger : forall ln:list nat, { n:nat & forall n', In n' ln -> gt n n' }.
+ intros.
+ induction ln.
+ exists O.
+ intros.
+ inversion H.
+ destruct IHln as [n pf].
+ exists (plus (S n) a).
+ intros.
+ destruct H.
+ omega.
+ fold (@In _ n' ln) in H.
+ set (pf n' H) as q.
+ omega.
+ Defined.
+
+ Definition FreshNat : @FreshMonad nat.
+ refine {| FMT := fun T => nat -> prod nat T
+ ; FMT_fresh := _
+ |}.
+ Focus 2.
+ intros.
+ refine ((S H),_).
+ set (larger tl) as q.
+ destruct q as [n' pf].
+ exists n'.
+ intros.
+ set (pf _ H0) as qq.
+ omega.
+
+ refine {| returnM := fun a (v:a) => _ |}.
+ intro n. exact (n,v).
+ intros.
+ set (X H) as q.
+ destruct q as [n' v].
+ set (X0 v n') as q'.
+ exact q'.
+ Defined.
+
+ Definition unFresh {T} : @FreshM _ FreshNat T -> T.
+ intros.
+ destruct X.
+ exact O.
+ apply t.
+ Defined.
+
+ Definition env := ★::nil.
+ Definition freshTV : HaskType env ★ := haskTyVarToType (FreshHaskTyVar _).
+ Definition idproof0 : ND Rule [] [env > nil > [] |- [freshTV--->freshTV @@ nil]].
+ eapply nd_comp.
+ eapply nd_comp.
+ eapply nd_rule.
+ apply RVar.
+ eapply nd_rule.
+ eapply (RURule _ _ _ _ (RuCanL _ _)) .
+ eapply nd_rule.
+ eapply RLam.
+ Defined.
+(*
+ Definition TInt : HaskType nil ★.
+ assert (tyConKind' intPrimTyCon = ★).
+ rewrite <- H.
+ unfold HaskType; intros.
+ apply TCon.
+ Defined.
+
+ Definition idproof1 : ND Rule [] [nil > nil > [TInt @@ nil] |- [TInt @@ nil]].
+ apply nd_rule.
+ apply RVar.
+ Defined.
+
+ Definition idtype :=
+ HaskTAll(Γ:=nil) ★ (fun TV ite tv => (TApp (TApp TArrow (TVar tv)) (TVar tv))).
+
+ Definition idproof : ND Rule [] [nil > nil > [] |- [idtype @@ nil]].
+ eapply nd_comp; [ idtac | eapply nd_rule ; eapply RAbsT ].
+ apply idproof0.
+ Defined.
+*)
+(*
+ Definition coreToCoreExpr' (ce:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
+ addErrorMessage ("input CoreSyn: " +++ ce)
+ (addErrorMessage ("input CoreType: " +++ coreTypeOfCoreExpr ce) (
+ coreExprToWeakExpr ce >>= fun we =>
+ addErrorMessage ("WeakExpr: " +++ we)
+ ((addErrorMessage ("CoreType of WeakExpr: " +++ coreTypeOfCoreExpr (weakExprToCoreExpr we))
+ ((weakTypeOfWeakExpr we) >>= fun t =>
+ (addErrorMessage ("WeakType: " +++ t)
+ ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
+ addErrorMessage ("HaskType: " +++ τ)
+ ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
+ (let haskProof := @expr2proof _ _ _ _ _ _ e
+ in (* insert HaskProof-to-HaskProof manipulations here *)
+ (unFresh (@proof2expr nat _ FreshNat _ _ _ _ (fun _ => Prelude_error "unbound unique") _ haskProof))
+ >>= fun e' => Error (@toString _ (ExprToString _ _ _ _) (projT2 e'))
+(*
+ >>= fun e' =>
+ Prelude_error (@toString _ (@ExprToString nat _ _ _ _ _ _) (projT2 e'))
+ *)
+)
+)))))))).
+(* Error "X").*)
+(*
+ strongExprToWeakExpr hetmet_brak hetmet_esc mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
+ (projT2 e')
+ INil
+ >>= fun q => Error (toString q)
+ ))))))))).
+*)
+*)
+
+ Definition coreToCoreExpr' (ce:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
+ addErrorMessage ("input CoreSyn: " +++ ce)
+ (addErrorMessage ("input CoreType: " +++ coreTypeOfCoreExpr ce) (
+ coreExprToWeakExpr ce >>= fun we =>
+ addErrorMessage ("WeakExpr: " +++ we)
+ ((addErrorMessage ("CoreType of WeakExpr: " +++ coreTypeOfCoreExpr (weakExprToCoreExpr we))
+ ((weakTypeOfWeakExpr we) >>= fun t =>
+ (addErrorMessage ("WeakType: " +++ t)
+ ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
+
+ ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
+
+ (addErrorMessage ("HaskStrong...")
+ (let haskProof := @expr2proof _ _ _ _ _ _ e
+ in (* insert HaskProof-to-HaskProof manipulations here *)
+ OK ((@proof2expr nat _ FreshNat _ _ _ _ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
+ >>= fun e' =>
+ (snd e') >>= fun e'' =>
+ strongExprToWeakExpr hetmet_brak hetmet_esc mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
+ (projT2 e'') INil
+ >>= fun q =>
+ OK (weakExprToCoreExpr q)
+ )))))))))).
+
+ Definition coreToCoreExpr (ce:@CoreExpr CoreVar) : (@CoreExpr CoreVar) :=
+ match coreToCoreExpr' ce with
+ | OK x => x
+ | Error s => Prelude_error s
+ end.
+
+ Definition coreToCoreBind (binds:@CoreBind CoreVar) : @CoreBind CoreVar :=
+ match binds with
+ | CoreNonRec v e => CoreNonRec v (coreToCoreExpr e)
+ | CoreRec lbe => CoreRec (map (fun ve => match ve with (v,e) => (v,coreToCoreExpr e) end) lbe)
+ end.
+
+ Definition coqPassCoreToCore' (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
+ map coreToCoreBind lbinds.
+
+ End CoreToCore.
+
+ Definition coqPassCoreToCore
+ (hetmet_brak : CoreVar)
+ (hetmet_esc : CoreVar)
+ (uniqueSupply : UniqSupply)
+ (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
+ match coreVarToWeakVar hetmet_brak with
+ | WExprVar hetmet_brak' => match coreVarToWeakVar hetmet_esc with
+ | WExprVar hetmet_esc' => coqPassCoreToCore' hetmet_brak' hetmet_esc' uniqueSupply lbinds
+ | _ => Prelude_error "IMPOSSIBLE"
+ end
+ | _ => Prelude_error "IMPOSSIBLE"
+ end.
+
+End core2proof.
+(*Set Extraction Optimize.*)
+(*Set Extraction AutoInline.*)