1 (*********************************************************************************************************************************)
4 (* This module is the "top level" for extraction *)
6 (*********************************************************************************************************************************)
8 Require Import Coq.Strings.Ascii.
9 Require Import Coq.Strings.String.
10 Require Import Coq.Lists.List.
12 Require Import Preamble.
13 Require Import General.
15 Require Import NaturalDeduction.
17 Require Import HaskKinds.
18 Require Import HaskLiterals.
19 Require Import HaskTyCons.
20 Require Import HaskCoreVars.
21 Require Import HaskCoreTypes.
22 Require Import HaskCore.
23 Require Import HaskWeakVars.
24 Require Import HaskWeakTypes.
25 Require Import HaskWeak.
26 Require Import HaskStrongTypes.
27 Require Import HaskStrong.
28 Require Import HaskProof.
29 Require Import HaskCoreToWeak.
30 Require Import HaskWeakToStrong.
31 Require Import HaskStrongToProof.
32 Require Import HaskProofToLatex.
33 Require Import HaskStrongToWeak.
34 Require Import HaskWeakToCore.
35 Require Import HaskProofToStrong.
37 Require Import HaskFlattener.
39 Open Scope string_scope.
40 Extraction Language Haskell.
42 (*Extract Inductive vec => "([])" [ "([])" "(:)" ].*)
43 (*Extract Inductive Tree => "([])" [ "([])" "(:)" ].*)
44 (*Extract Inlined Constant map => "Prelude.map".*)
46 (* I try to reuse Haskell types mostly to get the "deriving Show" aspect *)
47 Extract Inductive option => "Prelude.Maybe" [ "Prelude.Just" "Prelude.Nothing" ].
48 Extract Inductive list => "([])" [ "([])" "(:)" ].
49 Extract Inductive string => "Prelude.String" [ "[]" "(:)" ].
50 Extract Inductive prod => "(,)" [ "(,)" ].
51 Extract Inductive sum => "Prelude.Either" [ "Prelude.Left" "Prelude.Right" ].
52 Extract Inductive sumbool => "Prelude.Bool" [ "Prelude.True" "Prelude.False" ].
53 Extract Inductive bool => "Prelude.Bool" [ "Prelude.True" "Prelude.False" ].
54 Extract Inductive unit => "()" [ "()" ].
55 Extract Inlined Constant string_dec => "(==)".
56 Extract Inlined Constant ascii_dec => "(==)".
58 Extract Inductive ascii => "Char" [ "you_forgot_to_patch_coq" ] "you_forgot_to_patch_coq".
59 Extract Constant zero => "'\000'".
60 Extract Constant one => "'\001'".
61 Extract Constant shift => "shiftAscii".
63 Unset Extraction Optimize.
64 Unset Extraction AutoInline.
66 Variable Name : Type. Extract Inlined Constant Name => "Name.Name".
67 Variable mkSystemName : Unique -> string -> nat -> Name.
68 Extract Inlined Constant mkSystemName =>
69 "(\u s d -> Name.mkSystemName u (OccName.mkOccName (OccName.varNameDepth (nat2int d)) s))".
70 Variable mkTyVar : Name -> Kind -> CoreVar.
71 Extract Inlined Constant mkTyVar => "(\n k -> Var.mkTyVar n (kindToCoreKind k))".
72 Variable mkCoVar : Name -> CoreType -> CoreType -> CoreVar.
73 Extract Inlined Constant mkCoVar => "(\n t1 t2 -> Var.mkCoVar n (Coercion.mkCoKind t1 t2))".
74 Variable mkExVar : Name -> CoreType -> CoreVar.
75 Extract Inlined Constant mkExVar => "Id.mkLocalId".
78 Context (ce:@CoreExpr CoreVar).
80 Definition Γ : TypeEnv := nil.
82 Definition Δ : CoercionEnv Γ := nil.
84 Definition φ : TyVarResolver Γ :=
85 fun cv => Error ("unbound tyvar: " +++ toString (cv:CoreVar)).
86 (*fun tv => error ("tried to get the representative of an unbound tyvar:" +++ (getCoreVarOccString tv)).*)
88 Definition ψ : CoVarResolver Γ Δ :=
89 fun cv => Error ("tried to get the representative of an unbound covar!" (*+++ (getTypeVarOccString cv)*)).
91 (* We need to be able to resolve unbound exprvars, but we can be sure their types will have no
92 * free tyvars in them *)
93 Definition ξ (cv:CoreVar) : LeveledHaskType Γ ★ :=
94 match coreVarToWeakVar cv with
95 | WExprVar wev => match weakTypeToTypeOfKind φ wev ★ with
96 | Error s => Prelude_error ("Error converting weakType of top-level variable "+++
97 toString cv+++": " +++ s)
100 | WTypeVar _ => Prelude_error "top-level xi got a type variable"
101 | WCoerVar _ => Prelude_error "top-level xi got a coercion variable"
104 Definition header : string :=
105 "\documentclass{article}"+++eol+++
106 "\usepackage{amsmath}"+++eol+++
107 "\usepackage{amssymb}"+++eol+++
108 "\usepackage{proof}"+++eol+++
109 "\usepackage{trfrac} % http://www.utdallas.edu/~hamlen/trfrac.sty"+++eol+++
110 "\def\code#1#2{\Box_{#1} #2}"+++eol+++
111 "\usepackage[paperwidth=\maxdimen,paperheight=\maxdimen]{geometry}"+++eol+++
112 "\usepackage[tightpage,active]{preview}"+++eol+++
113 "\begin{document}"+++eol+++
114 "\setlength\PreviewBorder{5pt}"+++eol.
116 Definition footer : string :=
117 eol+++"\end{document}"+++
120 (* core-to-string (-dcoqpass) *)
121 Definition coreToStringExpr' (ce:@CoreExpr CoreVar) : ???string :=
122 addErrorMessage ("input CoreSyn: " +++ toString ce)
123 (addErrorMessage ("input CoreType: " +++ toString (coreTypeOfCoreExpr ce)) (
124 coreExprToWeakExpr ce >>= fun we =>
125 addErrorMessage ("WeakExpr: " +++ toString we)
126 ((addErrorMessage ("CoreType of WeakExpr: " +++ toString (coreTypeOfCoreExpr (weakExprToCoreExpr we)))
127 ((weakTypeOfWeakExpr we) >>= fun t =>
128 (addErrorMessage ("WeakType: " +++ toString t)
129 ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
130 addErrorMessage ("HaskType: " +++ toString τ)
131 ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => false) τ nil we) >>= fun e =>
132 OK (eol+++eol+++eol+++
133 "\begin{preview}"+++eol+++
135 toString (nd_ml_toLatexMath (@expr2proof _ _ _ _ _ _ e))+++
137 "\end{preview}"+++eol+++eol+++eol)
140 Definition coreToStringExpr (ce:@CoreExpr CoreVar) : string :=
141 match coreToStringExpr' ce with
143 | Error s => Prelude_error s
146 Definition coreToStringBind (binds:@CoreBind CoreVar) : string :=
148 | CoreNonRec _ e => coreToStringExpr e
149 | CoreRec lbe => fold_left (fun x y => x+++eol+++eol+++y) (map (fun x => coreToStringExpr (snd x)) lbe) ""
152 Definition coqPassCoreToString (lbinds:list (@CoreBind CoreVar)) : string :=
154 (fold_left (fun x y => x+++eol+++eol+++y) (map coreToStringBind lbinds) "")
158 (* core-to-core (-fcoqpass) *)
161 Definition mkWeakTypeVar (u:Unique)(k:Kind) : WeakTypeVar :=
162 weakTypeVar (mkTyVar (mkSystemName u "tv" O) k) k.
163 Definition mkWeakCoerVar (u:Unique)(k:Kind)(t1 t2:WeakType) : WeakCoerVar :=
164 weakCoerVar (mkCoVar (mkSystemName u "cv" O) (weakTypeToCoreType t1) (weakTypeToCoreType t2)) t1 t2.
165 Definition mkWeakExprVar (u:Unique)(t:WeakType) : WeakExprVar :=
166 weakExprVar (mkExVar (mkSystemName u "ev" O) (weakTypeToCoreType t)) t.
168 Context (hetmet_brak : WeakExprVar).
169 Context (hetmet_esc : WeakExprVar).
170 Context (hetmet_flatten : WeakExprVar).
171 Context (hetmet_unflatten : WeakExprVar).
172 Context (hetmet_flattened_id : WeakExprVar).
173 Context (uniqueSupply : UniqSupply).
175 Definition useUniqueSupply {T}(ut:UniqM T) : ???T :=
178 f uniqueSupply >>= fun x => OK (snd x)
181 Definition larger : forall ln:list nat, { n:nat & forall n', In n' ln -> gt n n' }.
187 destruct IHln as [n pf].
188 exists (plus (S n) a).
192 fold (@In _ n' ln) in H.
197 Definition FreshNat : @FreshMonad nat.
198 refine {| FMT := fun T => nat -> prod nat T
204 set (larger tl) as q.
205 destruct q as [n' pf].
211 refine {| returnM := fun a (v:a) => _ |}.
212 intro n. exact (n,v).
215 destruct q as [n' v].
220 Definition unFresh {T} : @FreshM _ FreshNat T -> T.
229 Definition coreVarToWeakExprVarOrError cv :=
230 match coreVarToWeakVar cv with
232 | _ => Prelude_error "IMPOSSIBLE"
235 Definition curry {Γ}{Δ}{a}{s}{Σ}{lev} :
237 [ Γ > Δ > Σ |- [a ---> s @@ lev ] ]
238 [ Γ > Δ > Σ,,[a @@ lev] |- [ s @@ lev ] ].
239 eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; apply RExch ].
240 eapply nd_comp; [ idtac | eapply nd_rule; apply (@RApp Γ Δ [a@@lev] Σ a s lev) ].
241 eapply nd_comp; [ apply nd_llecnac | idtac ].
248 Definition fToC1 {Γ}{Δ}{a}{s}{lev} :
249 ND Rule [] [ Γ > Δ > [ ] |- [a ---> s @@ lev ] ] ->
250 ND Rule [] [ Γ > Δ > [a @@ lev] |- [ s @@ lev ] ].
254 eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; apply RCanL ].
258 Definition fToC2 {Γ}{Δ}{a1}{a2}{s}{lev} :
259 ND Rule [] [ Γ > Δ > [] |- [a1 ---> (a2 ---> s) @@ lev ] ] ->
260 ND Rule [] [ Γ > Δ > [a1 @@ lev],,[a2 @@ lev] |- [ s @@ lev ] ].
274 Section coqPassCoreToCore.
276 (hetmet_brak : CoreVar)
277 (hetmet_esc : CoreVar)
278 (hetmet_flatten : CoreVar)
279 (hetmet_unflatten : CoreVar)
280 (hetmet_flattened_id : CoreVar)
281 (uniqueSupply : UniqSupply)
282 (lbinds:list (@CoreBind CoreVar))
283 (hetmet_PGArrowTyCon : TyFun)
284 (hetmet_PGArrow_unit_TyCon : TyFun)
285 (hetmet_PGArrow_tensor_TyCon : TyFun)
286 (hetmet_PGArrow_exponent_TyCon : TyFun)
287 (hetmet_pga_id : CoreVar)
288 (hetmet_pga_comp : CoreVar)
289 (hetmet_pga_first : CoreVar)
290 (hetmet_pga_second : CoreVar)
291 (hetmet_pga_cancell : CoreVar)
292 (hetmet_pga_cancelr : CoreVar)
293 (hetmet_pga_uncancell : CoreVar)
294 (hetmet_pga_uncancelr : CoreVar)
295 (hetmet_pga_assoc : CoreVar)
296 (hetmet_pga_unassoc : CoreVar)
297 (hetmet_pga_copy : CoreVar)
298 (hetmet_pga_drop : CoreVar)
299 (hetmet_pga_swap : CoreVar)
300 (hetmet_pga_applyl : CoreVar)
301 (hetmet_pga_applyr : CoreVar)
302 (hetmet_pga_curryl : CoreVar)
303 (hetmet_pga_curryr : CoreVar)
307 Definition ga_unit TV (ec:RawHaskType TV ECKind) : RawHaskType TV ★ :=
308 @TyFunApp TV hetmet_PGArrow_unit_TyCon (ECKind::nil) ★ (TyFunApp_cons _ _ ec TyFunApp_nil).
310 Definition ga_prod TV (ec:RawHaskType TV ECKind) (a b:RawHaskType TV ★) : RawHaskType TV ★ :=
312 hetmet_PGArrow_tensor_TyCon
313 (ECKind::★ ::★ ::nil) ★
314 (TyFunApp_cons _ _ ec
319 Definition ga_type {TV}(a:RawHaskType TV ECKind)(b c:RawHaskType TV ★) : RawHaskType TV ★ :=
320 TApp (TApp (TApp (@TyFunApp TV
322 nil _ TyFunApp_nil) a) b) c.
324 Definition ga := @ga_mk ga_unit ga_prod (@ga_type).
326 Definition ga_type' {Γ}(a:HaskType Γ ECKind)(b c:HaskType Γ ★) : HaskType Γ ★ :=
327 fun TV ite => TApp (TApp (TApp (@TyFunApp TV
329 nil _ TyFunApp_nil) (a TV ite)) (b TV ite)) (c TV ite).
331 Definition mkGlob2' {Γ}{κ₁}{κ₂}(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ ★) :
332 IList Kind (fun κ : Kind => HaskType Γ κ) (κ₁::κ₂::nil) -> HaskType Γ ★.
339 Definition mkGlob2 {Γ}{Δ}{l}{κ₁}{κ₂}(cv:CoreVar)(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ ★) x y
340 : ND Rule [] [ Γ > Δ > [] |- [f x y @@ l] ].
342 refine (@RGlobal Γ Δ l
343 {| glob_wv := coreVarToWeakExprVarOrError cv
344 ; glob_kinds := κ₁ :: κ₂ :: nil
345 ; glob_tf := mkGlob2'(Γ:=Γ) f
346 |} (ICons _ _ x (ICons _ _ y INil))).
349 Definition mkGlob3' {Γ}{κ₁}{κ₂}{κ₃}(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ ★) :
350 IList Kind (fun κ : Kind => HaskType Γ κ) (κ₁::κ₂::κ₃::nil) -> HaskType Γ ★.
358 Definition mkGlob3 {Γ}{Δ}{l}{κ₁}{κ₂}{κ₃}(cv:CoreVar)(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ ★) x y z
359 : ND Rule [] [ Γ > Δ > [] |- [f x y z @@ l] ].
361 refine (@RGlobal Γ Δ l
362 {| glob_wv := coreVarToWeakExprVarOrError cv
363 ; glob_kinds := κ₁ :: κ₂ :: κ₃ :: nil
364 ; glob_tf := mkGlob3'(Γ:=Γ) f
365 |} (ICons _ _ x (ICons _ _ y (ICons _ _ z INil)))).
368 Definition mkGlob4' {Γ}{κ₁}{κ₂}{κ₃}{κ₄}(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ κ₄ -> HaskType Γ ★) :
369 IList Kind (fun κ : Kind => HaskType Γ κ) (κ₁::κ₂::κ₃::κ₄::nil) -> HaskType Γ ★.
378 Definition mkGlob4 {Γ}{Δ}{l}{κ₁}{κ₂}{κ₃}{κ₄}(cv:CoreVar)(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ κ₄ -> HaskType Γ ★) x y z q
379 : ND Rule [] [ Γ > Δ > [] |- [f x y z q @@ l] ].
381 refine (@RGlobal Γ Δ l
382 {| glob_wv := coreVarToWeakExprVarOrError cv
383 ; glob_kinds := κ₁ :: κ₂ :: κ₃ :: κ₄ :: nil
384 ; glob_tf := mkGlob4'(Γ:=Γ) f
385 |} (ICons _ _ x (ICons _ _ y (ICons _ _ z (ICons _ _ q INil))))).
388 Definition gat {Γ} ec (x:Tree ??(HaskType Γ ★)) := @ga_mk_tree ga_unit ga_prod _ ec x.
390 Instance my_ga : garrow ga_unit ga_prod (@ga_type) :=
391 { ga_id := fun Γ Δ ec l a => mkGlob2 hetmet_pga_id (fun ec a => ga_type' ec a a) ec (gat ec a)
392 ; ga_cancelr := fun Γ Δ ec l a => mkGlob2 hetmet_pga_cancelr (fun ec a => ga_type' ec _ a) ec (gat ec a)
393 ; ga_cancell := fun Γ Δ ec l a => mkGlob2 hetmet_pga_cancell (fun ec a => ga_type' ec _ a) ec (gat ec a)
394 ; ga_uncancelr := fun Γ Δ ec l a => mkGlob2 hetmet_pga_uncancelr (fun ec a => ga_type' ec a _) ec (gat ec a)
395 ; ga_uncancell := fun Γ Δ ec l a => mkGlob2 hetmet_pga_uncancell (fun ec a => ga_type' ec a _) ec (gat ec a)
396 ; ga_assoc := fun Γ Δ ec l a b c => mkGlob4 hetmet_pga_assoc (fun ec a b c => ga_type' ec _ _) ec (gat ec a) (gat ec b) (gat ec c)
397 ; ga_unassoc := fun Γ Δ ec l a b c => mkGlob4 hetmet_pga_unassoc (fun ec a b c => ga_type' ec _ _) ec (gat ec a) (gat ec b) (gat ec c)
398 ; ga_swap := fun Γ Δ ec l a b => mkGlob3 hetmet_pga_swap (fun ec a b => ga_type' ec _ _) ec (gat ec a) (gat ec b)
399 ; ga_drop := fun Γ Δ ec l a => mkGlob2 hetmet_pga_drop (fun ec a => ga_type' ec _ _) ec (gat ec a)
400 ; ga_copy := fun Γ Δ ec l a => mkGlob2 hetmet_pga_copy (fun ec a => ga_type' ec _ _) ec (gat ec a)
401 ; ga_first := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_first (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec x))
402 ; ga_second := fun Γ Δ ec l a b x => fToC1 (mkGlob4 hetmet_pga_second (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec x))
403 ; ga_comp := fun Γ Δ ec l a b c => fToC2 (mkGlob4 hetmet_pga_comp (fun ec a b c => _) ec (gat ec a) (gat ec b) (gat ec c))
404 (* ; ga_lit := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_lit))*)
405 (* ; ga_curry := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_curry))*)
406 (* ; ga_apply := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_apply))*)
407 (* ; ga_kappa := fun Γ Δ ec l a => fToC1 (nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_kappa)))*)
408 ; ga_lit := fun Γ Δ ec l a => Prelude_error "ga_lit"
409 ; ga_curry := fun Γ Δ ec l a b c => Prelude_error "ga_curry"
410 ; ga_apply := fun Γ Δ ec l a b c => Prelude_error "ga_apply"
411 ; ga_kappa := fun Γ Δ ec l a => Prelude_error "ga_kappa"
414 Definition hetmet_brak' := coreVarToWeakExprVarOrError hetmet_brak.
415 Definition hetmet_esc' := coreVarToWeakExprVarOrError hetmet_esc.
416 Definition hetmet_flatten' := coreVarToWeakExprVarOrError hetmet_flatten.
417 Definition hetmet_unflatten' := coreVarToWeakExprVarOrError hetmet_unflatten.
418 Definition hetmet_flattened_id' := coreVarToWeakExprVarOrError hetmet_flattened_id.
420 Definition coreToCoreExpr' (ce:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
421 addErrorMessage ("input CoreSyn: " +++ toString ce)
422 (addErrorMessage ("input CoreType: " +++ toString (coreTypeOfCoreExpr ce)) (
423 coreExprToWeakExpr ce >>= fun we =>
424 addErrorMessage ("WeakExpr: " +++ toString we)
425 ((addErrorMessage ("CoreType of WeakExpr: " +++ toString (coreTypeOfCoreExpr (weakExprToCoreExpr we)))
426 ((weakTypeOfWeakExpr we) >>= fun t =>
427 (addErrorMessage ("WeakType: " +++ toString t)
428 ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
430 ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
432 (addErrorMessage ("HaskStrong...")
433 (let haskProof := skolemize_and_flatten_proof hetmet_flatten' hetmet_unflatten'
434 hetmet_flattened_id' my_ga (@expr2proof _ _ _ _ _ _ e)
435 in (* insert HaskProof-to-HaskProof manipulations here *)
436 OK ((@proof2expr nat _ FreshNat _ _ _ _ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
438 (snd e') >>= fun e'' =>
439 strongExprToWeakExpr hetmet_brak' hetmet_esc'
440 mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
443 OK (weakExprToCoreExpr q)
446 Definition coreToCoreExpr (ce:@CoreExpr CoreVar) : (@CoreExpr CoreVar) :=
447 match coreToCoreExpr' ce with
449 | Error s => Prelude_error s
452 Definition coreToCoreBind (binds:@CoreBind CoreVar) : @CoreBind CoreVar :=
454 | CoreNonRec v e => let e' := coreToCoreExpr e in CoreNonRec (setVarType v (coreTypeOfCoreExpr e')) e'
456 | CoreRec lbe => CoreRec (map (fun ve => match ve with (v,e) => (v,coreToCoreExpr e) end) lbe)
457 (* FIXME: doesn't deal with the case where top level recursive binds change type *)
459 match coreToCoreExpr (CoreELet lbe) (CoreELit HaskMachNullAddr) with
460 | CoreELet (CoreRec lbe') => lbe'
462 ("coreToCoreExpr was given a letrec, " +++
463 "but returned something that wasn't a letrec: " +++ toString x)
468 Definition coqPassCoreToCore' (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
469 map coreToCoreBind lbinds.
471 End coqPassCoreToCore.
473 Definition coqPassCoreToCore
474 (hetmet_brak : CoreVar)
475 (hetmet_esc : CoreVar)
476 (hetmet_flatten : CoreVar)
477 (hetmet_unflatten : CoreVar)
478 (hetmet_flattened_id : CoreVar)
479 (uniqueSupply : UniqSupply)
480 (lbinds:list (@CoreBind CoreVar))
481 (hetmet_PGArrowTyCon : TyFun)
482 (hetmet_PGArrow_unit_TyCon : TyFun)
483 (hetmet_PGArrow_tensor_TyCon : TyFun)
484 (hetmet_PGArrow_exponent_TyCon : TyFun)
485 (hetmet_pga_id : CoreVar)
486 (hetmet_pga_comp : CoreVar)
487 (hetmet_pga_first : CoreVar)
488 (hetmet_pga_second : CoreVar)
489 (hetmet_pga_cancell : CoreVar)
490 (hetmet_pga_cancelr : CoreVar)
491 (hetmet_pga_uncancell : CoreVar)
492 (hetmet_pga_uncancelr : CoreVar)
493 (hetmet_pga_assoc : CoreVar)
494 (hetmet_pga_unassoc : CoreVar)
495 (hetmet_pga_copy : CoreVar)
496 (hetmet_pga_drop : CoreVar)
497 (hetmet_pga_swap : CoreVar)
498 (hetmet_pga_applyl : CoreVar)
499 (hetmet_pga_applyr : CoreVar)
500 (hetmet_pga_curryl : CoreVar)
501 (hetmet_pga_curryr : CoreVar) : list (@CoreBind CoreVar) :=
510 hetmet_PGArrow_unit_TyCon
511 hetmet_PGArrow_tensor_TyCon
512 (* hetmet_PGArrow_exponent_TyCon*)