diff options
Diffstat (limited to 'kernel/typeops.ml')
| -rw-r--r-- | kernel/typeops.ml | 564 |
1 files changed, 268 insertions, 296 deletions
diff --git a/kernel/typeops.ml b/kernel/typeops.ml index 0059111c..be4c0e1e 100644 --- a/kernel/typeops.ml +++ b/kernel/typeops.ml @@ -1,24 +1,28 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) open CErrors open Util open Names open Univ -open Term +open Sorts +open Constr open Vars open Declarations open Environ -open Entries open Reduction open Inductive open Type_errors -open Context.Rel.Declaration + +module RelDecl = Context.Rel.Declaration +module NamedDecl = Context.Named.Declaration let conv_leq l2r env x y = default_conv CUMUL ~l2r env x y @@ -35,61 +39,50 @@ let check_constraints cst env = if Environ.check_constraints cst env then () else error_unsatisfied_constraints env cst -(* This should be a type (a priori without intension to be an assumption) *) -let type_judgment env j = - match kind_of_term(whd_all env j.uj_type) with - | Sort s -> {utj_val = j.uj_val; utj_type = s } - | _ -> error_not_type env j +(* This should be a type (a priori without intention to be an assumption) *) +let check_type env c t = + match kind(whd_all env t) with + | Sort s -> s + | _ -> error_not_type env (make_judge c t) -(* This should be a type intended to be assumed. The error message is *) -(* not as useful as for [type_judgment]. *) -let assumption_of_judgment env j = - try (type_judgment env j).utj_val +(* This should be a type intended to be assumed. The error message is + not as useful as for [type_judgment]. *) +let check_assumption env t ty = + try let _ = check_type env t ty in t with TypeError _ -> - error_assumption env j + error_assumption env (make_judge t ty) (************************************************) -(* Incremental typing rules: builds a typing judgement given the *) -(* judgements for the subterms. *) +(* Incremental typing rules: builds a typing judgment given the *) +(* judgments for the subterms. *) (*s Type of sorts *) (* Prop and Set *) -let judge_of_prop = - { uj_val = mkProp; - uj_type = mkSort type1_sort } - -let judge_of_set = - { uj_val = mkSet; - uj_type = mkSort type1_sort } - -let judge_of_prop_contents = function - | Null -> judge_of_prop - | Pos -> judge_of_set +let type1 = mkSort Sorts.type1 (* Type of Type(i). *) -let judge_of_type u = +let type_of_type u = let uu = Universe.super u in - { uj_val = mkType u; - uj_type = mkType uu } + mkType uu + +let type_of_sort = function + | Prop c -> type1 + | Type u -> type_of_type u (*s Type of a de Bruijn index. *) -let judge_of_relative env n = +let type_of_relative env n = try - let typ = get_type (lookup_rel n env) in - { uj_val = mkRel n; - uj_type = lift n typ } + env |> lookup_rel n |> RelDecl.get_type |> lift n with Not_found -> error_unbound_rel env n (* Type of variables *) -let judge_of_variable env id = - try - let ty = named_type id env in - make_judge (mkVar id) ty +let type_of_variable env id = + try named_type id env with Not_found -> error_unbound_var env id @@ -98,11 +91,11 @@ let judge_of_variable env id = (* Checks if a context of variables can be instantiated by the variables of the current env. Order does not have to be checked assuming that all names are distinct *) -let check_hyps_inclusion env c sign = +let check_hyps_inclusion env f c sign = Context.Named.fold_outside (fun d1 () -> let open Context.Named.Declaration in - let id = get_id d1 in + let id = NamedDecl.get_id d1 in try let d2 = lookup_named id env in conv env (get_type d2) (get_type d1); @@ -114,7 +107,7 @@ let check_hyps_inclusion env c sign = | LocalDef _, LocalAssum _ -> raise NotConvertible | LocalDef (_,b2,_), LocalDef (_,b1,_) -> conv env b2 b1); with Not_found | NotConvertible | Option.Heterogeneous -> - error_reference_variables env id c) + error_reference_variables env id (f c)) sign ~init:() @@ -122,86 +115,20 @@ let check_hyps_inclusion env c sign = (* Make a type polymorphic if an arity *) -let extract_level env p = - let _,c = dest_prod_assum env p in - match kind_of_term c with Sort (Type u) -> Univ.Universe.level u | _ -> None - -let extract_context_levels env l = - let fold l = function - | LocalAssum (_,p) -> extract_level env p :: l - | LocalDef _ -> l - in - List.fold_left fold [] l - -let make_polymorphic_if_constant_for_ind env {uj_val = c; uj_type = t} = - let params, ccl = dest_prod_assum env t in - match kind_of_term ccl with - | Sort (Type u) -> - let ind, l = decompose_app (whd_all env c) in - if isInd ind && List.is_empty l then - let mis = lookup_mind_specif env (fst (destInd ind)) in - let nparams = Inductive.inductive_params mis in - let paramsl = CList.lastn nparams params in - let param_ccls = extract_context_levels env paramsl in - let s = { template_param_levels = param_ccls; template_level = u} in - TemplateArity (params,s) - else RegularArity t - | _ -> - RegularArity t - (* Type of constants *) -let type_of_constant_type_knowing_parameters env t paramtyps = - match t with - | RegularArity t -> t - | TemplateArity (sign,ar) -> - let ctx = List.rev sign in - let ctx,s = instantiate_universes env ctx ar paramtyps in - mkArity (List.rev ctx,s) - -let type_of_constant_knowing_parameters env cst paramtyps = - let cb = lookup_constant (fst cst) env in - let () = check_hyps_inclusion env (mkConstU cst) cb.const_hyps in - let ty, cu = constant_type env cst in - type_of_constant_type_knowing_parameters env ty paramtyps, cu - -let type_of_constant_knowing_parameters_in env cst paramtyps = - let cb = lookup_constant (fst cst) env in - let () = check_hyps_inclusion env (mkConstU cst) cb.const_hyps in - let ty = constant_type_in env cst in - type_of_constant_type_knowing_parameters env ty paramtyps - -let type_of_constant_type env t = - type_of_constant_type_knowing_parameters env t [||] -let type_of_constant env cst = - type_of_constant_knowing_parameters env cst [||] - -let type_of_constant_in env cst = - let cb = lookup_constant (fst cst) env in - let () = check_hyps_inclusion env (mkConstU cst) cb.const_hyps in - let ar = constant_type_in env cst in - type_of_constant_type_knowing_parameters env ar [||] - -let judge_of_constant_knowing_parameters env (kn,u as cst) args = - let c = mkConstU cst in - let ty, cu = type_of_constant_knowing_parameters env cst args in +let type_of_constant env (kn,u as cst) = + let cb = lookup_constant kn env in + let () = check_hyps_inclusion env mkConstU cst cb.const_hyps in + let ty, cu = constant_type env cst in let () = check_constraints cu env in - make_judge c ty - -let judge_of_constant env cst = - judge_of_constant_knowing_parameters env cst [||] - -let type_of_projection env (p,u) = - let cst = Projection.constant p in - let cb = lookup_constant cst env in - match cb.const_proj with - | Some pb -> - if cb.const_polymorphic then - Vars.subst_instance_constr u pb.proj_type - else pb.proj_type - | None -> raise (Invalid_argument "type_of_projection: not a projection") + ty +let type_of_constant_in env (kn,u as cst) = + let cb = lookup_constant kn env in + let () = check_hyps_inclusion env mkConstU cst cb.const_hyps in + constant_type_in env cst (* Type of a lambda-abstraction. *) @@ -215,40 +142,36 @@ let type_of_projection env (p,u) = and no upper constraint exists on the sort $s$, we don't need to compute $s$ *) -let judge_of_abstraction env name var j = - { uj_val = mkLambda (name, var.utj_val, j.uj_val); - uj_type = mkProd (name, var.utj_val, j.uj_type) } - -(* Type of let-in. *) - -let judge_of_letin env name defj typj j = - { uj_val = mkLetIn (name, defj.uj_val, typj.utj_val, j.uj_val) ; - uj_type = subst1 defj.uj_val j.uj_type } +let type_of_abstraction env name var ty = + mkProd (name, var, ty) (* Type of an application. *) -let judge_of_apply env funj argjv = - let rec apply_rec n typ = function - | [] -> - { uj_val = mkApp (j_val funj, Array.map j_val argjv); - uj_type = typ } - | hj::restjl -> - (match kind_of_term (whd_all env typ) with - | Prod (_,c1,c2) -> - (try - let () = conv_leq false env hj.uj_type c1 in - apply_rec (n+1) (subst1 hj.uj_val c2) restjl - with NotConvertible -> - error_cant_apply_bad_type env - (n,c1, hj.uj_type) - funj argjv) - - | _ -> - error_cant_apply_not_functional env funj argjv) - in - apply_rec 1 - funj.uj_type - (Array.to_list argjv) +let make_judgev c t = + Array.map2 make_judge c t + +let type_of_apply env func funt argsv argstv = + let len = Array.length argsv in + let rec apply_rec i typ = + if Int.equal i len then typ + else + (match kind (whd_all env typ) with + | Prod (_,c1,c2) -> + let arg = argsv.(i) and argt = argstv.(i) in + (try + let () = conv_leq false env argt c1 in + apply_rec (i+1) (subst1 arg c2) + with NotConvertible -> + error_cant_apply_bad_type env + (i+1,c1,argt) + (make_judge func funt) + (make_judgev argsv argstv)) + + | _ -> + error_cant_apply_not_functional env + (make_judge func funt) + (make_judgev argsv argstv)) + in apply_rec 0 funt (* Type of product *) @@ -281,10 +204,9 @@ let sort_of_product env domsort rangsort = where j.uj_type is convertible to a sort s2 *) -let judge_of_product env name t1 t2 = - let s = sort_of_product env t1.utj_type t2.utj_type in - { uj_val = mkProd (name, t1.utj_val, t2.utj_val); - uj_type = mkSort s } +let type_of_product env name s1 s2 = + let s = sort_of_product env s1 s2 in + mkSort s (* Type of a type cast *) @@ -295,29 +217,20 @@ let judge_of_product env name t1 t2 = env |- c:typ2 *) -let judge_of_cast env cj k tj = - let expected_type = tj.utj_val in +let check_cast env c ct k expected_type = try - let c, cst = - match k with - | VMcast -> - mkCast (cj.uj_val, k, expected_type), - Reduction.vm_conv CUMUL env cj.uj_type expected_type - | DEFAULTcast -> - mkCast (cj.uj_val, k, expected_type), - default_conv ~l2r:false CUMUL env cj.uj_type expected_type - | REVERTcast -> - cj.uj_val, - default_conv ~l2r:true CUMUL env cj.uj_type expected_type - | NATIVEcast -> - let sigma = Nativelambda.empty_evars in - mkCast (cj.uj_val, k, expected_type), - Nativeconv.native_conv CUMUL sigma env cj.uj_type expected_type - in - { uj_val = c; - uj_type = expected_type } + match k with + | VMcast -> + vm_conv CUMUL env ct expected_type + | DEFAULTcast -> + default_conv ~l2r:false CUMUL env ct expected_type + | REVERTcast -> + default_conv ~l2r:true CUMUL env ct expected_type + | NATIVEcast -> + let sigma = Nativelambda.empty_evars in + Nativeconv.native_conv CUMUL sigma env ct expected_type with NotConvertible -> - error_actual_type env cj expected_type + error_actual_type env (make_judge c ct) expected_type (* Inductive types. *) @@ -333,83 +246,78 @@ let judge_of_cast env cj k tj = the App case of execute; from this constraints, the expected dynamic constraints of the form u<=v are enforced *) -let judge_of_inductive_knowing_parameters env (ind,u as indu) args = - let c = mkIndU indu in +let type_of_inductive_knowing_parameters env (ind,u as indu) args = let (mib,mip) as spec = lookup_mind_specif env ind in - check_hyps_inclusion env c mib.mind_hyps; + check_hyps_inclusion env mkIndU indu mib.mind_hyps; let t,cst = Inductive.constrained_type_of_inductive_knowing_parameters env (spec,u) args in - check_constraints cst env; - make_judge c t + check_constraints cst env; + t -let judge_of_inductive env (ind,u as indu) = - let c = mkIndU indu in - let (mib,mip) as spec = lookup_mind_specif env ind in - check_hyps_inclusion env c mib.mind_hyps; - let t,cst = Inductive.constrained_type_of_inductive env (spec,u) in - check_constraints cst env; - (make_judge c t) +let type_of_inductive env (ind,u as indu) = + let (mib,mip) = lookup_mind_specif env ind in + check_hyps_inclusion env mkIndU indu mib.mind_hyps; + let t,cst = Inductive.constrained_type_of_inductive env ((mib,mip),u) in + check_constraints cst env; + t (* Constructors. *) -let judge_of_constructor env (c,u as cu) = - let constr = mkConstructU cu in - let _ = +let type_of_constructor env (c,u as cu) = + let () = let ((kn,_),_) = c in let mib = lookup_mind kn env in - check_hyps_inclusion env constr mib.mind_hyps in + check_hyps_inclusion env mkConstructU cu mib.mind_hyps + in let specif = lookup_mind_specif env (inductive_of_constructor c) in let t,cst = constrained_type_of_constructor cu specif in let () = check_constraints cst env in - (make_judge constr t) + t (* Case. *) -let check_branch_types env (ind,u) cj (lfj,explft) = - try conv_leq_vecti env (Array.map j_type lfj) explft +let check_branch_types env (ind,u) c ct lft explft = + try conv_leq_vecti env lft explft with NotConvertibleVect i -> - error_ill_formed_branch env cj.uj_val ((ind,i+1),u) lfj.(i).uj_type explft.(i) + error_ill_formed_branch env c ((ind,i+1),u) lft.(i) explft.(i) | Invalid_argument _ -> - error_number_branches env cj (Array.length explft) + error_number_branches env (make_judge c ct) (Array.length explft) -let judge_of_case env ci pj cj lfj = +let type_of_case env ci p pt c ct lf lft = let (pind, _ as indspec) = - try find_rectype env cj.uj_type - with Not_found -> error_case_not_inductive env cj in + try find_rectype env ct + with Not_found -> error_case_not_inductive env (make_judge c ct) in let () = check_case_info env pind ci in let (bty,rslty) = - type_case_branches env indspec pj cj.uj_val in - let () = check_branch_types env pind cj (lfj,bty) in - ({ uj_val = mkCase (ci, (*nf_betaiota*) pj.uj_val, cj.uj_val, - Array.map j_val lfj); - uj_type = rslty }) + type_case_branches env indspec (make_judge p pt) c in + let () = check_branch_types env pind c ct lft bty in + rslty -let judge_of_projection env p cj = +let type_of_projection env p c ct = let pb = lookup_projection p env in let (ind,u), args = - try find_rectype env cj.uj_type - with Not_found -> error_case_not_inductive env cj + try find_rectype env ct + with Not_found -> error_case_not_inductive env (make_judge c ct) in - assert(eq_mind pb.proj_ind (fst ind)); - let ty = Vars.subst_instance_constr u pb.Declarations.proj_type in - let ty = substl (cj.uj_val :: List.rev args) ty in - {uj_val = mkProj (p,cj.uj_val); - uj_type = ty} + assert(MutInd.equal pb.proj_ind (fst ind)); + let ty = Vars.subst_instance_constr u pb.Declarations.proj_type in + substl (c :: CList.rev args) ty + (* Fixpoints. *) (* Checks the type of a general (co)fixpoint, i.e. without checking *) (* the specific guard condition. *) -let type_fixpoint env lna lar vdefj = - let lt = Array.length vdefj in +let check_fixpoint env lna lar vdef vdeft = + let lt = Array.length vdeft in assert (Int.equal (Array.length lar) lt); try - conv_leq_vecti env (Array.map j_type vdefj) (Array.map (fun ty -> lift lt ty) lar) + conv_leq_vecti env vdeft (Array.map (fun ty -> lift lt ty) lar) with NotConvertibleVect i -> - error_ill_typed_rec_body env i lna vdefj lar + error_ill_typed_rec_body env i lna (make_judgev vdef vdeft) lar (************************************************************************) (************************************************************************) @@ -419,150 +327,214 @@ let type_fixpoint env lna lar vdefj = Ind et Constructsi un jour cela devient des constructions arbitraires et non plus des variables *) let rec execute env cstr = - match kind_of_term cstr with + let open Context.Rel.Declaration in + match kind cstr with (* Atomic terms *) - | Sort (Prop c) -> - judge_of_prop_contents c - - | Sort (Type u) -> - judge_of_type u + | Sort s -> type_of_sort s | Rel n -> - judge_of_relative env n + type_of_relative env n | Var id -> - judge_of_variable env id + type_of_variable env id | Const c -> - judge_of_constant env c + type_of_constant env c | Proj (p, c) -> - let cj = execute env c in - judge_of_projection env p cj + let ct = execute env c in + type_of_projection env p c ct (* Lambda calculus operators *) | App (f,args) -> - let jl = execute_array env args in - let j = - match kind_of_term f with - | Ind ind when Environ.template_polymorphic_pind ind env -> - (* Sort-polymorphism of inductive types *) - let args = Array.map (fun j -> lazy j.uj_type) jl in - judge_of_inductive_knowing_parameters env ind args - | Const cst when Environ.template_polymorphic_pconstant cst env -> - (* Sort-polymorphism of constant *) - let args = Array.map (fun j -> lazy j.uj_type) jl in - judge_of_constant_knowing_parameters env cst args - | _ -> - (* No sort-polymorphism *) - execute env f + let argst = execute_array env args in + let ft = + match kind f with + | Ind ind when Environ.template_polymorphic_pind ind env -> + let args = Array.map (fun t -> lazy t) argst in + type_of_inductive_knowing_parameters env ind args + | _ -> + (* No template polymorphism *) + execute env f in - judge_of_apply env j jl + + type_of_apply env f ft args argst | Lambda (name,c1,c2) -> - let varj = execute_type env c1 in - let env1 = push_rel (LocalAssum (name,varj.utj_val)) env in - let j' = execute env1 c2 in - judge_of_abstraction env name varj j' + let _ = execute_is_type env c1 in + let env1 = push_rel (LocalAssum (name,c1)) env in + let c2t = execute env1 c2 in + type_of_abstraction env name c1 c2t | Prod (name,c1,c2) -> - let varj = execute_type env c1 in - let env1 = push_rel (LocalAssum (name,varj.utj_val)) env in - let varj' = execute_type env1 c2 in - judge_of_product env name varj varj' + let vars = execute_is_type env c1 in + let env1 = push_rel (LocalAssum (name,c1)) env in + let vars' = execute_is_type env1 c2 in + type_of_product env name vars vars' | LetIn (name,c1,c2,c3) -> - let j1 = execute env c1 in - let j2 = execute_type env c2 in - let _ = judge_of_cast env j1 DEFAULTcast j2 in - let env1 = push_rel (LocalDef (name,j1.uj_val,j2.utj_val)) env in - let j' = execute env1 c3 in - judge_of_letin env name j1 j2 j' + let c1t = execute env c1 in + let _c2s = execute_is_type env c2 in + let () = check_cast env c1 c1t DEFAULTcast c2 in + let env1 = push_rel (LocalDef (name,c1,c2)) env in + let c3t = execute env1 c3 in + subst1 c1 c3t | Cast (c,k,t) -> - let cj = execute env c in - let tj = execute_type env t in - judge_of_cast env cj k tj + let ct = execute env c in + let _ts = (check_type env t (execute env t)) in + let () = check_cast env c ct k t in + t (* Inductive types *) | Ind ind -> - judge_of_inductive env ind + type_of_inductive env ind | Construct c -> - judge_of_constructor env c + type_of_constructor env c | Case (ci,p,c,lf) -> - let cj = execute env c in - let pj = execute env p in - let lfj = execute_array env lf in - judge_of_case env ci pj cj lfj + let ct = execute env c in + let pt = execute env p in + let lft = execute_array env lf in + type_of_case env ci p pt c ct lf lft | Fix ((vn,i as vni),recdef) -> let (fix_ty,recdef') = execute_recdef env recdef i in let fix = (vni,recdef') in - check_fix env fix; - make_judge (mkFix fix) fix_ty + check_fix env fix; fix_ty | CoFix (i,recdef) -> let (fix_ty,recdef') = execute_recdef env recdef i in let cofix = (i,recdef') in - check_cofix env cofix; - (make_judge (mkCoFix cofix) fix_ty) + check_cofix env cofix; fix_ty (* Partial proofs: unsupported by the kernel *) | Meta _ -> - anomaly (Pp.str "the kernel does not support metavariables") + anomaly (Pp.str "the kernel does not support metavariables.") | Evar _ -> - anomaly (Pp.str "the kernel does not support existential variables") + anomaly (Pp.str "the kernel does not support existential variables.") -and execute_type env constr = - let j = execute env constr in - type_judgment env j +and execute_is_type env constr = + let t = execute env constr in + check_type env constr t and execute_recdef env (names,lar,vdef) i = - let larj = execute_array env lar in - let lara = Array.map (assumption_of_judgment env) larj in + let lart = execute_array env lar in + let lara = Array.map2 (check_assumption env) lar lart in let env1 = push_rec_types (names,lara,vdef) env in - let vdefj = execute_array env1 vdef in - let vdefv = Array.map j_val vdefj in - let () = type_fixpoint env1 names lara vdefj in - (lara.(i),(names,lara,vdefv)) + let vdeft = execute_array env1 vdef in + let () = check_fixpoint env1 names lara vdef vdeft in + (lara.(i),(names,lara,vdef)) and execute_array env = Array.map (execute env) (* Derived functions *) let infer env constr = - let j = execute env constr in - assert (eq_constr j.uj_val constr); - j + let t = execute env constr in + make_judge constr t + +let infer = + if Flags.profile then + let infer_key = CProfile.declare_profile "Fast_infer" in + CProfile.profile2 infer_key (fun b c -> infer b c) + else (fun b c -> infer b c) -(* let infer_key = Profile.declare_profile "infer" *) -(* let infer = Profile.profile2 infer_key infer *) +let assumption_of_judgment env {uj_val=c; uj_type=t} = + check_assumption env c t + +let type_judgment env {uj_val=c; uj_type=t} = + let s = check_type env c t in + {utj_val = c; utj_type = s } let infer_type env constr = - let j = execute_type env constr in - j + let t = execute env constr in + let s = check_type env constr t in + {utj_val = constr; utj_type = s} let infer_v env cv = let jv = execute_array env cv in - jv + make_judgev cv jv (* Typing of several terms. *) let infer_local_decl env id = function - | LocalDefEntry c -> - let j = infer env c in - LocalDef (Name id, j.uj_val, j.uj_type) - | LocalAssumEntry c -> - let j = infer env c in - LocalAssum (Name id, assumption_of_judgment env j) + | Entries.LocalDefEntry c -> + let t = execute env c in + RelDecl.LocalDef (Name id, c, t) + | Entries.LocalAssumEntry c -> + let t = execute env c in + RelDecl.LocalAssum (Name id, check_assumption env c t) let infer_local_decls env decls = let rec inferec env = function | (id, d) :: l -> let (env, l) = inferec env l in let d = infer_local_decl env id d in - (push_rel d env, Context.Rel.add d l) - | [] -> (env, Context.Rel.empty) in + (push_rel d env, Context.Rel.add d l) + | [] -> (env, Context.Rel.empty) + in inferec env decls + +let judge_of_prop = make_judge mkProp type1 +let judge_of_set = make_judge mkSet type1 +let judge_of_type u = make_judge (mkType u) (type_of_type u) + +let judge_of_prop_contents = function + | Null -> judge_of_prop + | Pos -> judge_of_set + +let judge_of_relative env k = make_judge (mkRel k) (type_of_relative env k) + +let judge_of_variable env x = make_judge (mkVar x) (type_of_variable env x) + +let judge_of_constant env cst = make_judge (mkConstU cst) (type_of_constant env cst) + +let judge_of_projection env p cj = + make_judge (mkProj (p,cj.uj_val)) (type_of_projection env p cj.uj_val cj.uj_type) + +let dest_judgev v = + Array.map j_val v, Array.map j_type v + +let judge_of_apply env funj argjv = + let args, argtys = dest_judgev argjv in + make_judge (mkApp (funj.uj_val, args)) (type_of_apply env funj.uj_val funj.uj_type args argtys) + +let judge_of_abstraction env x varj bodyj = + make_judge (mkLambda (x, varj.utj_val, bodyj.uj_val)) + (type_of_abstraction env x varj.utj_val bodyj.uj_type) + +let judge_of_product env x varj outj = + make_judge (mkProd (x, varj.utj_val, outj.utj_val)) + (mkSort (sort_of_product env varj.utj_type outj.utj_type)) + +let judge_of_letin env name defj typj j = + make_judge (mkLetIn (name, defj.uj_val, typj.utj_val, j.uj_val)) + (subst1 defj.uj_val j.uj_type) + +let judge_of_cast env cj k tj = + let () = check_cast env cj.uj_val cj.uj_type k tj.utj_val in + let c = match k with | REVERTcast -> cj.uj_val | _ -> mkCast (cj.uj_val, k, tj.utj_val) in + make_judge c tj.utj_val + +let judge_of_inductive env indu = + make_judge (mkIndU indu) (type_of_inductive env indu) + +let judge_of_constructor env cu = + make_judge (mkConstructU cu) (type_of_constructor env cu) + +let judge_of_case env ci pj cj lfj = + let lf, lft = dest_judgev lfj in + make_judge (mkCase (ci, (*nf_betaiota*) pj.uj_val, cj.uj_val, lft)) + (type_of_case env ci pj.uj_val pj.uj_type cj.uj_val cj.uj_type lf lft) + +let type_of_projection_constant env (p,u) = + let cst = Projection.constant p in + let cb = lookup_constant cst env in + match cb.const_proj with + | Some pb -> + if Declareops.constant_is_polymorphic cb then + Vars.subst_instance_constr u pb.proj_type + else pb.proj_type + | None -> raise (Invalid_argument "type_of_projection: not a projection") |