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; apply (@RApp Γ Δ Σ [a@@lev] a s lev) ].
240 eapply nd_comp; [ apply nd_rlecnac | idtac ].
247 Definition fToC1 {Γ}{Δ}{a}{s}{lev} :
248 ND Rule [] [ Γ > Δ > [ ] |- [a ---> s @@ lev ] ] ->
249 ND Rule [] [ Γ > Δ > [a @@ lev] |- [ s @@ lev ] ].
253 eapply nd_comp; [ idtac | eapply nd_rule; eapply RArrange; apply RCanL ].
257 Definition fToC2 {Γ}{Δ}{a1}{a2}{s}{lev} :
258 ND Rule [] [ Γ > Δ > [] |- [a1 ---> (a2 ---> s) @@ lev ] ] ->
259 ND Rule [] [ Γ > Δ > [a1 @@ lev],,[a2 @@ lev] |- [ s @@ lev ] ].
273 Section coqPassCoreToCore.
275 (hetmet_brak : CoreVar)
276 (hetmet_esc : CoreVar)
277 (hetmet_flatten : CoreVar)
278 (hetmet_unflatten : CoreVar)
279 (hetmet_flattened_id : CoreVar)
280 (uniqueSupply : UniqSupply)
281 (lbinds:list (@CoreBind CoreVar))
282 (hetmet_PGArrowTyCon : TyFun)
283 (hetmet_PGArrow_unit_TyCon : TyFun)
284 (hetmet_PGArrow_tensor_TyCon : TyFun)
285 (hetmet_PGArrow_exponent_TyCon : TyFun)
286 (hetmet_pga_id : CoreVar)
287 (hetmet_pga_comp : CoreVar)
288 (hetmet_pga_first : CoreVar)
289 (hetmet_pga_second : CoreVar)
290 (hetmet_pga_cancell : CoreVar)
291 (hetmet_pga_cancelr : CoreVar)
292 (hetmet_pga_uncancell : CoreVar)
293 (hetmet_pga_uncancelr : CoreVar)
294 (hetmet_pga_assoc : CoreVar)
295 (hetmet_pga_unassoc : CoreVar)
296 (hetmet_pga_copy : CoreVar)
297 (hetmet_pga_drop : CoreVar)
298 (hetmet_pga_swap : CoreVar)
299 (hetmet_pga_applyl : CoreVar)
300 (hetmet_pga_applyr : CoreVar)
301 (hetmet_pga_curryl : CoreVar)
302 (hetmet_pga_curryr : CoreVar)
306 Definition ga_unit TV (ec:RawHaskType TV ECKind) : RawHaskType TV ★ :=
307 @TyFunApp TV hetmet_PGArrow_unit_TyCon (ECKind::nil) ★ (TyFunApp_cons _ _ ec TyFunApp_nil).
308 Definition ga_prod TV (ec:RawHaskType TV ECKind) (a b:RawHaskType TV ★) : RawHaskType TV ★ :=
309 TApp (TApp (@TyFunApp TV hetmet_PGArrow_tensor_TyCon (ECKind::nil) _ (TyFunApp_cons _ _ ec TyFunApp_nil)) a) b.
310 Definition ga_type {TV}(a:RawHaskType TV ECKind)(b c:RawHaskType TV ★) : RawHaskType TV ★ :=
311 TApp (TApp (TApp (@TyFunApp TV
313 nil _ TyFunApp_nil) a) b) c.
314 Definition ga := @ga_mk ga_unit ga_prod (@ga_type).
316 Definition ga_type' {Γ}(a:HaskType Γ ECKind)(b c:HaskType Γ ★) : HaskType Γ ★ :=
317 fun TV ite => TApp (TApp (TApp (@TyFunApp TV
319 nil _ TyFunApp_nil) (a TV ite)) (b TV ite)) (c TV ite).
321 Definition mkGlob2' {Γ}{κ₁}{κ₂}(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ ★) :
322 IList Kind (fun κ : Kind => HaskType Γ κ) (κ₁::κ₂::nil) -> HaskType Γ ★.
329 Definition mkGlob2 {Γ}{Δ}{l}{κ₁}{κ₂}(cv:CoreVar)(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ ★) x y
330 : ND Rule [] [ Γ > Δ > [] |- [f x y @@ l] ].
332 refine (@RGlobal Γ Δ l
333 {| glob_wv := coreVarToWeakExprVarOrError cv
334 ; glob_kinds := κ₁ :: κ₂ :: nil
335 ; glob_tf := mkGlob2'(Γ:=Γ) f
336 |} (ICons _ _ x (ICons _ _ y INil))).
339 Definition mkGlob3' {Γ}{κ₁}{κ₂}{κ₃}(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ ★) :
340 IList Kind (fun κ : Kind => HaskType Γ κ) (κ₁::κ₂::κ₃::nil) -> HaskType Γ ★.
348 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
349 : ND Rule [] [ Γ > Δ > [] |- [f x y z @@ l] ].
351 refine (@RGlobal Γ Δ l
352 {| glob_wv := coreVarToWeakExprVarOrError cv
353 ; glob_kinds := κ₁ :: κ₂ :: κ₃ :: nil
354 ; glob_tf := mkGlob3'(Γ:=Γ) f
355 |} (ICons _ _ x (ICons _ _ y (ICons _ _ z INil)))).
358 Definition mkGlob4' {Γ}{κ₁}{κ₂}{κ₃}{κ₄}(f:HaskType Γ κ₁ -> HaskType Γ κ₂ -> HaskType Γ κ₃ -> HaskType Γ κ₄ -> HaskType Γ ★) :
359 IList Kind (fun κ : Kind => HaskType Γ κ) (κ₁::κ₂::κ₃::κ₄::nil) -> HaskType Γ ★.
368 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
369 : ND Rule [] [ Γ > Δ > [] |- [f x y z q @@ l] ].
371 refine (@RGlobal Γ Δ l
372 {| glob_wv := coreVarToWeakExprVarOrError cv
373 ; glob_kinds := κ₁ :: κ₂ :: κ₃ :: κ₄ :: nil
374 ; glob_tf := mkGlob4'(Γ:=Γ) f
375 |} (ICons _ _ x (ICons _ _ y (ICons _ _ z (ICons _ _ q INil))))).
378 Definition gat {Γ} ec (x:Tree ??(HaskType Γ ★)) := @ga_mk_tree ga_unit ga_prod _ ec x.
380 Instance my_ga : garrow ga_unit ga_prod (@ga_type) :=
381 { ga_id := fun Γ Δ ec l a => mkGlob2 hetmet_pga_id (fun ec a => ga_type' ec a a) ec (gat ec a)
382 ; ga_cancelr := fun Γ Δ ec l a => mkGlob2 hetmet_pga_cancelr (fun ec a => ga_type' ec _ a) ec (gat ec a)
383 ; ga_cancell := fun Γ Δ ec l a => mkGlob2 hetmet_pga_cancell (fun ec a => ga_type' ec _ a) ec (gat ec a)
384 ; ga_uncancelr := fun Γ Δ ec l a => mkGlob2 hetmet_pga_uncancelr (fun ec a => ga_type' ec a _) ec (gat ec a)
385 ; ga_uncancell := fun Γ Δ ec l a => mkGlob2 hetmet_pga_uncancell (fun ec a => ga_type' ec a _) ec (gat ec a)
386 ; 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)
387 ; 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)
388 ; 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)
389 ; ga_drop := fun Γ Δ ec l a => mkGlob2 hetmet_pga_drop (fun ec a => ga_type' ec _ _) ec (gat ec a)
390 ; ga_copy := fun Γ Δ ec l a => mkGlob2 hetmet_pga_copy (fun ec a => ga_type' ec _ _) ec (gat ec a)
391 ; 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))
392 ; 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))
393 ; 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))
394 (* ; ga_lit := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_lit))*)
395 (* ; ga_curry := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_curry))*)
396 (* ; ga_apply := fun Γ Δ ec l a => nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_apply))*)
397 (* ; ga_kappa := fun Γ Δ ec l a => fToC1 (nd_rule (RGlobal _ _ _ _ (coreVarToWeakExprVarOrError hetmet_pga_kappa)))*)
398 ; ga_lit := fun Γ Δ ec l a => Prelude_error "ga_lit"
399 ; ga_curry := fun Γ Δ ec l a b c => Prelude_error "ga_curry"
400 ; ga_apply := fun Γ Δ ec l a b c => Prelude_error "ga_apply"
401 ; ga_kappa := fun Γ Δ ec l a => Prelude_error "ga_kappa"
404 Definition hetmet_brak' := coreVarToWeakExprVarOrError hetmet_brak.
405 Definition hetmet_esc' := coreVarToWeakExprVarOrError hetmet_esc.
406 Definition hetmet_flatten' := coreVarToWeakExprVarOrError hetmet_flatten.
407 Definition hetmet_unflatten' := coreVarToWeakExprVarOrError hetmet_unflatten.
408 Definition hetmet_flattened_id' := coreVarToWeakExprVarOrError hetmet_flattened_id.
410 Definition coreToCoreExpr' (ce:@CoreExpr CoreVar) : ???(@CoreExpr CoreVar) :=
411 addErrorMessage ("input CoreSyn: " +++ toString ce)
412 (addErrorMessage ("input CoreType: " +++ toString (coreTypeOfCoreExpr ce)) (
413 coreExprToWeakExpr ce >>= fun we =>
414 addErrorMessage ("WeakExpr: " +++ toString we)
415 ((addErrorMessage ("CoreType of WeakExpr: " +++ toString (coreTypeOfCoreExpr (weakExprToCoreExpr we)))
416 ((weakTypeOfWeakExpr we) >>= fun t =>
417 (addErrorMessage ("WeakType: " +++ toString t)
418 ((weakTypeToTypeOfKind φ t ★) >>= fun τ =>
420 ((weakExprToStrongExpr Γ Δ φ ψ ξ (fun _ => true) τ nil we) >>= fun e =>
422 (addErrorMessage ("HaskStrong...")
423 (let haskProof := flatten_proof hetmet_flatten' hetmet_unflatten'
424 hetmet_flattened_id' my_ga (@expr2proof _ _ _ _ _ _ e)
425 in (* insert HaskProof-to-HaskProof manipulations here *)
426 OK ((@proof2expr nat _ FreshNat _ _ _ _ (fun _ => Prelude_error "unbound unique") _ haskProof) O)
428 (snd e') >>= fun e'' =>
429 strongExprToWeakExpr hetmet_brak' hetmet_esc'
430 mkWeakTypeVar mkWeakCoerVar mkWeakExprVar uniqueSupply
433 OK (weakExprToCoreExpr q)
436 Definition coreToCoreExpr (ce:@CoreExpr CoreVar) : (@CoreExpr CoreVar) :=
437 match coreToCoreExpr' ce with
439 | Error s => Prelude_error s
442 Definition coreToCoreBind (binds:@CoreBind CoreVar) : @CoreBind CoreVar :=
444 | CoreNonRec v e => let e' := coreToCoreExpr e in CoreNonRec (setVarType v (coreTypeOfCoreExpr e')) e'
446 | CoreRec lbe => CoreRec (map (fun ve => match ve with (v,e) => (v,coreToCoreExpr e) end) lbe)
447 (* FIXME: doesn't deal with the case where top level recursive binds change type *)
449 match coreToCoreExpr (CoreELet lbe) (CoreELit HaskMachNullAddr) with
450 | CoreELet (CoreRec lbe') => lbe'
452 ("coreToCoreExpr was given a letrec, " +++
453 "but returned something that wasn't a letrec: " +++ toString x)
458 Definition coqPassCoreToCore' (lbinds:list (@CoreBind CoreVar)) : list (@CoreBind CoreVar) :=
459 map coreToCoreBind lbinds.
461 End coqPassCoreToCore.
463 Definition coqPassCoreToCore
464 (hetmet_brak : CoreVar)
465 (hetmet_esc : CoreVar)
466 (hetmet_flatten : CoreVar)
467 (hetmet_unflatten : CoreVar)
468 (hetmet_flattened_id : CoreVar)
469 (uniqueSupply : UniqSupply)
470 (lbinds:list (@CoreBind CoreVar))
471 (hetmet_PGArrowTyCon : TyFun)
472 (hetmet_PGArrow_unit_TyCon : TyFun)
473 (hetmet_PGArrow_tensor_TyCon : TyFun)
474 (hetmet_PGArrow_exponent_TyCon : TyFun)
475 (hetmet_pga_id : CoreVar)
476 (hetmet_pga_comp : CoreVar)
477 (hetmet_pga_first : CoreVar)
478 (hetmet_pga_second : CoreVar)
479 (hetmet_pga_cancell : CoreVar)
480 (hetmet_pga_cancelr : CoreVar)
481 (hetmet_pga_uncancell : CoreVar)
482 (hetmet_pga_uncancelr : CoreVar)
483 (hetmet_pga_assoc : CoreVar)
484 (hetmet_pga_unassoc : CoreVar)
485 (hetmet_pga_copy : CoreVar)
486 (hetmet_pga_drop : CoreVar)
487 (hetmet_pga_swap : CoreVar)
488 (hetmet_pga_applyl : CoreVar)
489 (hetmet_pga_applyr : CoreVar)
490 (hetmet_pga_curryl : CoreVar)
491 (hetmet_pga_curryr : CoreVar) : list (@CoreBind CoreVar) :=
500 hetmet_PGArrow_unit_TyCon
501 hetmet_PGArrow_tensor_TyCon
502 (* hetmet_PGArrow_exponent_TyCon*)