+Axiom fail : forall {A}, string -> A.
+ Extract Inlined Constant fail => "Prelude.error".
+
+Section core2proof.
+ Context (ce:@CoreExpr CoreVar).
+
+ Definition Γ : TypeEnv := nil.
+
+ Definition Δ : CoercionEnv Γ := nil.
+
+ Definition φ : TyVarResolver Γ :=
+ fun cv => (fun TV env => fail "unbound tyvar").
+ (*fun tv => error ("tried to get the representative of an unbound tyvar:" +++ (getCoreVarOccString tv)).*)
+
+ Definition ψ : CoreVar->HaskCoVar nil Δ
+ := fun cv => fail ("tried to get the representative of an unbound covar!" (*+++ (getTypeVarOccString cv)*)).
+
+ (* We need to be able to resolve unbound exprvars, but we can be sure their types will have no
+ * free tyvars in them *)
+ Definition ξ (cv:CoreVar) : LeveledHaskType Γ ★ :=
+ match coreVarToWeakVar cv with
+ | WExprVar wev => match weakTypeToType' φ wev ★ with
+ | Error s => fail ("Error in top-level xi: " +++ s)
+ | OK t => t @@ nil
+ end
+ | WTypeVar _ => fail "top-level xi got a type variable"
+ | WCoerVar _ => fail "top-level xi got a coercion variable"
+ end.
+
+ Definition header : string :=
+ "\documentclass[9pt]{article}"+++eol+++
+ "\usepackage{amsmath}"+++eol+++
+ "\usepackage{amssymb}"+++eol+++
+ "\usepackage{proof}"+++eol+++
+ "\usepackage{mathpartir}"+++eol+++
+ "\usepackage{trfrac}"+++eol+++
+ "\def\code#1#2{\Box_{#1} #2}"+++eol+++
+ "\usepackage[paperwidth=20in,centering]{geometry}"+++eol+++
+ "\usepackage[displaymath,tightpage,active]{preview}"+++eol+++
+ "\begin{document}"+++eol+++
+ "\begin{preview}"+++eol.
+
+ Definition footer : string :=
+ eol+++"\end{preview}"+++
+ eol+++"\end{document}"+++
+ eol.
+
+ Definition handleExpr (ce:@CoreExpr CoreVar) : string :=
+ match coreExprToWeakExpr ce with
+ | Error s => fail ("unable to convert GHC Core expression into Coq HaskWeak expression due to:\n "+++s)
+ | OK we => match weakTypeOfWeakExpr we >>= fun t => weakTypeToType φ t with
+ | Error s => fail ("unable to calculate HaskType of a HaskWeak expression because: " +++ s)
+ | OK τ => match τ with
+ | haskTypeOfSomeKind ★ τ' =>
+ match weakExprToStrongExpr Γ Δ φ ψ ξ τ' nil (*(makeClosedExpression*) we (* ) *) with
+ | Error s => fail ("unable to convert HaskWeak to HaskStrong due to:\n "+++s)
+ | OK e' => eol+++"$$"+++ nd_ml_toLatex (@expr2proof _ _ _ _ _ _ e')+++"$$"+++eol
+ end
+ | haskTypeOfSomeKind κ τ' =>
+ fail ("encountered 'expression' of kind "+++κ+++" at top level (type "+++τ'
+ +++"); shouldn't happen")
+ end
+ end
+ end.
+
+ Definition handleBind (bind:@CoreBind CoreVar) : string :=
+ match bind with
+ | CoreNonRec _ e => handleExpr e
+ | CoreRec lbe => fold_left (fun x y => x+++eol+++eol+++y) (map (fun x => handleExpr (snd x)) lbe) ""
+ end.
+
+ Definition coqPassCoreToString (lbinds:list (@CoreBind CoreVar)) : string :=
+ header +++
+ (fold_left (fun x y => x+++eol+++eol+++y) (map handleBind lbinds) "")
+ +++ footer.
+
+ Definition coqPassCoreToCore (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
+ lbinds.
+
+End core2proof.