diff options
Diffstat (limited to 'checker')
| -rw-r--r-- | checker/environ.ml | 3 | ||||
| -rw-r--r-- | checker/indtypes.ml | 44 | ||||
| -rw-r--r-- | checker/inductive.ml | 14 | ||||
| -rw-r--r-- | checker/inductive.mli | 4 | ||||
| -rw-r--r-- | checker/mod_checking.ml | 12 | ||||
| -rw-r--r-- | checker/reduction.ml | 14 | ||||
| -rw-r--r-- | checker/subtyping.ml | 52 | ||||
| -rw-r--r-- | checker/term.ml | 34 | ||||
| -rw-r--r-- | checker/term.mli | 1 | ||||
| -rw-r--r-- | checker/univ.ml | 125 | ||||
| -rw-r--r-- | checker/univ.mli | 40 |
11 files changed, 124 insertions, 219 deletions
diff --git a/checker/environ.ml b/checker/environ.ml index 11b8ea67cc..d3f393c651 100644 --- a/checker/environ.ml +++ b/checker/environ.ml @@ -122,8 +122,7 @@ type const_evaluation_result = NoBody | Opaque | IsProj let constraints_of cb u = match cb.const_universes with | Monomorphic_const _ -> Univ.Constraint.empty - | Polymorphic_const ctx -> - Univ.UContext.constraints (Univ.subst_instance_context u ctx) + | Polymorphic_const ctx -> Univ.AUContext.instantiate u ctx let map_regular_arity f = function | RegularArity a as ar -> diff --git a/checker/indtypes.ml b/checker/indtypes.ml index 92e94c1ab0..22c8438126 100644 --- a/checker/indtypes.ml +++ b/checker/indtypes.ml @@ -525,10 +525,10 @@ let check_positivity env_ar mind params nrecp inds = Array.iter2 (fun ind wfpi -> check_subtree ind.mind_recargs wfpi) inds wfp (* Check arities and constructors *) -let check_subtyping_arity_constructor env (subst : constr -> constr) (arcn : constr) numparams is_arity = +let check_subtyping_arity_constructor env (subst : Univ.Instance.t) (arcn : constr) numparams is_arity = let numchecked = ref 0 in let basic_check ev tp = - if !numchecked < numparams then () else conv_leq ev tp (subst tp); + if !numchecked < numparams then () else conv_leq ev tp (Term.subst_instance_constr subst tp); numchecked := !numchecked + 1 in let check_typ typ typ_env = @@ -548,26 +548,27 @@ let check_subtyping_arity_constructor env (subst : constr -> constr) (arcn : con (* Check that the subtyping information inferred for inductive types in the block is correct. *) (* This check produces a value of the unit type if successful or raises an anomaly if check fails. *) -let check_subtyping cumi paramsctxt env_ar inds = +let check_subtyping cumi paramsctxt env inds = + let open Univ in let numparams = rel_context_nhyps paramsctxt in - let sbsubst = Univ.CumulativityInfo.subtyping_susbst cumi in - let other_instnace = Univ.CumulativityInfo.subtyping_other_instance cumi in - let dosubst = subst_univs_level_constr sbsubst in - let uctx = Univ.CumulativityInfo.univ_context cumi in - let uctx_other = Univ.UContext.make (other_instnace, Univ.UContext.constraints uctx) in - let env = Environ.push_context uctx env_ar - in - let env = Environ.push_context uctx_other env - in - let env = Environ.push_context - (Univ.CumulativityInfo.subtyp_context cumi) env - in + (** In [env] we already have [ Var(0) ... Var(n-1) |- cst ] available. + We must produce the substitution σ : [ Var(i) -> Var (i + n) | 0 <= i < n] + and push the constraints [ Var(n) ... Var(2n - 1) |- cst{σ} ], together + with the cumulativity constraints [ cumul_cst ]. *) + let len = AUContext.size (ACumulativityInfo.univ_context cumi) in + let inst = Instance.of_array (Array.init len (fun i -> Level.var (i + len))) in + let other_context = ACumulativityInfo.univ_context cumi in + let uctx_other = UContext.make (inst, AUContext.instantiate inst other_context) in + let cumul_context = AUContext.repr (ACumulativityInfo.subtyp_context cumi) in + let cumul_cst = UContext.constraints cumul_context in + let env = Environ.push_context uctx_other env in + let env = Environ.add_constraints cumul_cst env in (* process individual inductive types: *) Array.iter (fun { mind_user_lc = lc; mind_arity = arity } -> match arity with | RegularArity { mind_user_arity = full_arity} -> - check_subtyping_arity_constructor env dosubst full_arity numparams true; - Array.iter (fun cnt -> check_subtyping_arity_constructor env dosubst cnt numparams false) lc + check_subtyping_arity_constructor env inst full_arity numparams true; + Array.iter (fun cnt -> check_subtyping_arity_constructor env inst cnt numparams false) lc | TemplateArity _ -> () ) inds @@ -579,10 +580,10 @@ let check_inductive env kn mib = (* check mind_constraints: should be consistent with env *) let ind_ctx = match mib.mind_universes with - | Monomorphic_ind ctx -> ctx - | Polymorphic_ind auctx -> Univ.instantiate_univ_context auctx + | Monomorphic_ind _ -> Univ.UContext.empty (** Already in the global environment *) + | Polymorphic_ind auctx -> Univ.AUContext.repr auctx | Cumulative_ind cumi -> - Univ.instantiate_univ_context (Univ.ACumulativityInfo.univ_context cumi) + Univ.AUContext.repr (Univ.ACumulativityInfo.univ_context cumi) in let env = Environ.push_context ind_ctx env in (* check mind_record : TODO ? check #constructor = 1 ? *) @@ -606,8 +607,7 @@ let check_inductive env kn mib = match mib.mind_universes with | Monomorphic_ind _ | Polymorphic_ind _ -> () | Cumulative_ind acumi -> - check_subtyping - (Univ.instantiate_cumulativity_info acumi) params env_ar mib.mind_packets + check_subtyping acumi params env_ar mib.mind_packets in (* check mind_nparams_rec: positivity condition *) check_positivity env_ar kn params mib.mind_nparams_rec mib.mind_packets; diff --git a/checker/inductive.ml b/checker/inductive.ml index 93ffa329a6..1271a02b0e 100644 --- a/checker/inductive.ml +++ b/checker/inductive.ml @@ -66,20 +66,6 @@ let inductive_is_cumulative mib = | Polymorphic_ind ctx -> false | Cumulative_ind cumi -> true -let inductive_polymorphic_instance mib = - match mib.mind_universes with - | Monomorphic_ind _ -> Univ.Instance.empty - | Polymorphic_ind ctx -> Univ.AUContext.instance ctx - | Cumulative_ind cumi -> - Univ.AUContext.instance (Univ.ACumulativityInfo.univ_context cumi) - -let inductive_polymorphic_context mib = - match mib.mind_universes with - | Monomorphic_ind _ -> Univ.UContext.empty - | Polymorphic_ind ctx -> Univ.instantiate_univ_context ctx - | Cumulative_ind cumi -> - Univ.instantiate_univ_context (Univ.ACumulativityInfo.univ_context cumi) - (************************************************************************) (* Build the substitution that replaces Rels by the appropriate *) diff --git a/checker/inductive.mli b/checker/inductive.mli index 698b8b77c2..8f605935db 100644 --- a/checker/inductive.mli +++ b/checker/inductive.mli @@ -26,10 +26,6 @@ val inductive_is_polymorphic : mutual_inductive_body -> bool val inductive_is_cumulative : mutual_inductive_body -> bool -val inductive_polymorphic_instance : mutual_inductive_body -> Univ.universe_instance - -val inductive_polymorphic_context : mutual_inductive_body -> Univ.universe_context - val type_of_inductive : env -> mind_specif puniverses -> constr (* Return type as quoted by the user *) diff --git a/checker/mod_checking.ml b/checker/mod_checking.ml index 15e9ae2951..4948f6008f 100644 --- a/checker/mod_checking.ml +++ b/checker/mod_checking.ml @@ -26,22 +26,21 @@ let refresh_arity ar = let check_constant_declaration env kn cb = Feedback.msg_notice (str " checking cst:" ++ prcon kn); - let env', u = + (** [env'] contains De Bruijn universe variables *) + let env' = match cb.const_universes with - | Monomorphic_const ctx -> push_context ~strict:true ctx env, Univ.Instance.empty + | Monomorphic_const ctx -> push_context ~strict:true ctx env | Polymorphic_const auctx -> - let ctx = Univ.instantiate_univ_context auctx in - push_context ~strict:false ctx env, Univ.UContext.instance ctx + let ctx = Univ.AUContext.repr auctx in + push_context ~strict:false ctx env in let envty, ty = match cb.const_type with RegularArity ty -> - let ty = subst_instance_constr u ty in let ty', cu = refresh_arity ty in let envty = push_context_set cu env' in let _ = infer_type envty ty' in envty, ty | TemplateArity(ctxt,par) -> - assert(Univ.Instance.is_empty u); let _ = check_ctxt env' ctxt in check_polymorphic_arity env' ctxt par; env', it_mkProd_or_LetIn (Sort(Type par.template_level)) ctxt @@ -49,7 +48,6 @@ let check_constant_declaration env kn cb = let () = match body_of_constant cb with | Some bd -> - let bd = subst_instance_constr u bd in (match cb.const_proj with | None -> let j = infer envty bd in conv_leq envty j ty diff --git a/checker/reduction.ml b/checker/reduction.ml index 93b8b907ca..6d8783d7e5 100644 --- a/checker/reduction.ml +++ b/checker/reduction.ml @@ -157,25 +157,23 @@ let compare_stacks f fmind lft1 stk1 lft2 stk2 = else raise NotConvertible let convert_inductive_instances cv_pb cumi u u' univs = - let ind_instance = - Univ.AUContext.instance (Univ.ACumulativityInfo.univ_context cumi) in + let len_instance = + Univ.AUContext.size (Univ.ACumulativityInfo.univ_context cumi) in let ind_subtypctx = Univ.ACumulativityInfo.subtyp_context cumi in - if not ((Univ.Instance.length ind_instance = Univ.Instance.length u) && - (Univ.Instance.length ind_instance = Univ.Instance.length u')) then + if not ((len_instance = Univ.Instance.length u) && + (len_instance = Univ.Instance.length u')) then anomaly (Pp.str "Invalid inductive subtyping encountered!") else let comp_cst = let comp_subst = (Univ.Instance.append u u') in - Univ.UContext.constraints - (Univ.subst_instance_context comp_subst ind_subtypctx) + Univ.AUContext.instantiate comp_subst ind_subtypctx in let comp_cst = match cv_pb with CONV -> let comp_cst' = let comp_subst = (Univ.Instance.append u' u) in - Univ.UContext.constraints - (Univ.subst_instance_context comp_subst ind_subtypctx) + Univ.AUContext.instantiate comp_subst ind_subtypctx in Univ.Constraint.union comp_cst comp_cst' | CUMUL -> comp_cst diff --git a/checker/subtyping.ml b/checker/subtyping.ml index 5fd5510a7f..3097c3a0b9 100644 --- a/checker/subtyping.ml +++ b/checker/subtyping.ml @@ -81,6 +81,14 @@ let check_conv_error error f env a1 a2 = with NotConvertible -> error () +let check_polymorphic_instance error env auctx1 auctx2 = + if not (Univ.AUContext.size auctx1 == Univ.AUContext.size auctx2) then + error () + else if not (Univ.check_subtype (Environ.universes env) auctx2 auctx1) then + error () + else + Environ.push_context ~strict:false (Univ.AUContext.repr auctx2) env + (* for now we do not allow reorderings *) let check_inductive env mp1 l info1 mib2 spec2 subst1 subst2= let kn = MutInd.make2 mp1 l in @@ -93,19 +101,17 @@ let check_inductive env mp1 l info1 mib2 spec2 subst1 subst2= in let mib2 = subst_mind subst2 mib2 in let check eq f = if not (eq (f mib1) (f mib2)) then error () in - let u = - let process inst inst' = - if Univ.Instance.equal inst inst' then inst else error () - in + let env, u = match mib1.mind_universes, mib2.mind_universes with - | Monomorphic_ind _, Monomorphic_ind _ -> Univ.Instance.empty + | Monomorphic_ind _, Monomorphic_ind _ -> env, Univ.Instance.empty | Polymorphic_ind auctx, Polymorphic_ind auctx' -> - process - (Univ.AUContext.instance auctx) (Univ.AUContext.instance auctx') + let env = check_polymorphic_instance error env auctx auctx' in + env, Univ.make_abstract_instance auctx' | Cumulative_ind cumi, Cumulative_ind cumi' -> - process - (Univ.AUContext.instance (Univ.ACumulativityInfo.univ_context cumi)) - (Univ.AUContext.instance (Univ.ACumulativityInfo.univ_context cumi')) + let auctx = Univ.ACumulativityInfo.univ_context cumi in + let auctx' = Univ.ACumulativityInfo.univ_context cumi' in + let env = check_polymorphic_instance error env auctx auctx' in + env, Univ.make_abstract_instance auctx' | _ -> error () in let eq_projection_body p1 p2 = @@ -118,7 +124,7 @@ let check_inductive env mp1 l info1 mib2 spec2 subst1 subst2= check (eq_constr) (fun x -> snd x.proj_eta); check (eq_constr) (fun x -> x.proj_body); true in - let check_inductive_type env t1 t2 = + let check_inductive_type t1 t2 = (* Due to template polymorphism, the conclusions of t1 and t2, if in Type, are generated as the least upper bounds @@ -170,8 +176,8 @@ let check_inductive env mp1 l info1 mib2 spec2 subst1 subst2= (* nparams done *) (* params_ctxt done because part of the inductive types *) (* Don't check the sort of the type if polymorphic *) - check_inductive_type env - (type_of_inductive env ((mib1,p1),u)) (type_of_inductive env ((mib2,p2),u)) + check_inductive_type + (type_of_inductive env ((mib1,p1), u)) (type_of_inductive env ((mib2,p2),u)) in let check_cons_types i p1 p2 = Array.iter2 (check_conv conv env) @@ -309,27 +315,17 @@ let check_constant env mp1 l info1 cb2 spec2 subst1 subst2 = let c2 = force_constr lc2 in check_conv conv env c1 c2)) | IndType ((kn,i),mind1) -> - ignore (CErrors.user_err (Pp.str ( + CErrors.user_err (Pp.str ( "The kernel does not recognize yet that a parameter can be " ^ "instantiated by an inductive type. Hint: you can rename the " ^ "inductive type and give a definition to map the old name to the new " ^ - "name."))); - if constant_has_body cb2 then error () ; - let u = inductive_polymorphic_instance mind1 in - let arity1 = type_of_inductive env ((mind1,mind1.mind_packets.(i)),u) in - let typ2 = Typeops.type_of_constant_type env cb2.const_type in - check_conv conv_leq env arity1 typ2 - | IndConstr (((kn,i),j) as cstr,mind1) -> - ignore (CErrors.user_err (Pp.str ( + "name.")) + | IndConstr (((kn,i),j),mind1) -> + CErrors.user_err (Pp.str ( "The kernel does not recognize yet that a parameter can be " ^ "instantiated by a constructor. Hint: you can rename the " ^ "constructor and give a definition to map the old name to the new " ^ - "name."))); - if constant_has_body cb2 then error () ; - let u1 = inductive_polymorphic_instance mind1 in - let ty1 = type_of_constructor (cstr,u1) (mind1,mind1.mind_packets.(i)) in - let ty2 = Typeops.type_of_constant_type env cb2.const_type in - check_conv conv env ty1 ty2 + "name.")) let rec check_modules env msb1 msb2 subst1 subst2 = let mty1 = module_type_of_module None msb1 in diff --git a/checker/term.ml b/checker/term.ml index 9bcb15bc72..5995dfcc61 100644 --- a/checker/term.ml +++ b/checker/term.ml @@ -447,37 +447,3 @@ let subst_instance_constr subst c = let subst_instance_context s ctx = if Univ.Instance.is_empty s then ctx else map_rel_context (fun x -> subst_instance_constr s x) ctx - -let subst_univs_level_constr subst c = - if Univ.is_empty_level_subst subst then c - else - let f = Univ.Instance.subst_fn (Univ.subst_univs_level_level subst) in - let changed = ref false in - let rec aux t = - match t with - | Const (c, u) -> - if Univ.Instance.is_empty u then t - else - let u' = f u in - if u' == u then t - else (changed := true; Const (c, u')) - | Ind (i, u) -> - if Univ.Instance.is_empty u then t - else - let u' = f u in - if u' == u then t - else (changed := true; Ind (i, u')) - | Construct (c, u) -> - if Univ.Instance.is_empty u then t - else - let u' = f u in - if u' == u then t - else (changed := true; Construct (c, u')) - | Sort (Type u) -> - let u' = Univ.subst_univs_level_universe subst u in - if u' == u then t else - (changed := true; Sort (sort_of_univ u')) - | _ -> map_constr aux t - in - let c' = aux c in - if !changed then c' else c diff --git a/checker/term.mli b/checker/term.mli index ccf5b59e0c..679a56ee45 100644 --- a/checker/term.mli +++ b/checker/term.mli @@ -57,4 +57,3 @@ val eq_constr : constr -> constr -> bool (** Instance substitution for polymorphism. *) val subst_instance_constr : Univ.universe_instance -> constr -> constr val subst_instance_context : Univ.universe_instance -> rel_context -> rel_context -val subst_univs_level_constr : Univ.universe_level_subst -> constr -> constr diff --git a/checker/univ.ml b/checker/univ.ml index b434db129e..e3abc436f0 100644 --- a/checker/univ.ml +++ b/checker/univ.ml @@ -1075,6 +1075,7 @@ module Instance : sig val check_eq : t check_function val length : t -> int val append : t -> t -> t + val of_array : Level.t array -> t end = struct type t = Level.t array @@ -1157,9 +1158,38 @@ struct let length = Array.length let append = Array.append - + + let of_array i = i + end +(** Substitute instance inst for ctx in csts *) + +let subst_instance_level s l = + match l.Level.data with + | Level.Var n -> s.(n) + | _ -> l + +let subst_instance_instance s i = + Array.smartmap (fun l -> subst_instance_level s l) i + +let subst_instance_universe s u = + let f x = Universe.Expr.map (fun u -> subst_instance_level s u) x in + let u' = Universe.smartmap f u in + if u == u' then u + else Universe.sort u' + +let subst_instance_constraint s (u,d,v as c) = + let u' = subst_instance_level s u in + let v' = subst_instance_level s v in + if u' == u && v' == v then c + else (u',d,v') + +let subst_instance_constraints s csts = + Constraint.fold + (fun c csts -> Constraint.add (subst_instance_constraint s c) csts) + csts Constraint.empty + type universe_instance = Instance.t type 'a puniverses = 'a * Instance.t @@ -1175,6 +1205,7 @@ struct let make x = x let instance (univs, cst) = univs let constraints (univs, cst) = cst + let size (univs, _) = Instance.length univs let is_empty (univs, cst) = Instance.is_empty univs && Constraint.is_empty cst let pr prl (univs, cst as ctx) = @@ -1184,7 +1215,18 @@ end type universe_context = UContext.t -module AUContext = UContext +module AUContext = +struct + include UContext + + let repr (inst, cst) = + (Array.mapi (fun i l -> Level.var i) inst, cst) + + let instantiate inst (u, cst) = + assert (Array.length u = Array.length inst); + subst_instance_constraints inst cst + +end type abstract_universe_context = AUContext.t @@ -1192,43 +1234,11 @@ module CumulativityInfo = struct type t = universe_context * universe_context - let make x = - if (Array.length (UContext.instance (snd x))) = - (Array.length (UContext.instance (fst x))) * 2 then x - else anomaly (Pp.str "Invalid subtyping information encountered!") - - let empty = (UContext.empty, UContext.empty) - - let halve_context ctx = - let len = Array.length ctx in - let halflen = len / 2 in - ((Array.sub ctx 0 halflen), (Array.sub ctx halflen halflen)) - let univ_context (univcst, subtypcst) = univcst let subtyp_context (univcst, subtypcst) = subtypcst - let create_trivial_subtyping ctx ctx' = - CArray.fold_left_i - (fun i cst l -> Constraint.add (l, Eq, Array.get ctx' i) cst) - Constraint.empty ctx - - let from_universe_context univcst freshunivs = - let inst = (UContext.instance univcst) in - assert (Array.length freshunivs = Array.length inst); - (univcst, UContext.make (Array.append inst freshunivs, - create_trivial_subtyping inst freshunivs)) - - let subtyping_other_instance (univcst, subtypcst) = - let (_, ctx') = (halve_context (UContext.instance subtypcst)) in ctx' - - let subtyping_susbst (univcst, subtypcst) = - let (ctx, ctx') = (halve_context (UContext.instance subtypcst)) in - Array.fold_left2 (fun subst l1 l2 -> LMap.add l1 l2 subst) LMap.empty ctx ctx' - end -type cumulativity_info = CumulativityInfo.t - module ACumulativityInfo = CumulativityInfo type abstract_cumulativity_info = ACumulativityInfo.t @@ -1242,7 +1252,17 @@ struct end type universe_context_set = ContextSet.t +(** Instance subtyping *) +let check_subtype univs ctxT ctx = + if AUContext.size ctx == AUContext.size ctx then + let (inst, cst) = AUContext.repr ctx in + let cstT = UContext.constraints (AUContext.repr ctxT) in + let push accu v = add_universe v false accu in + let univs = Array.fold_left push univs inst in + let univs = merge_constraints cstT univs in + check_constraints cst univs + else false (** Substitutions. *) @@ -1263,46 +1283,9 @@ let subst_univs_level_universe subst u = if u == u' then u else Universe.sort u' -(** Substitute instance inst for ctx in csts *) - -let subst_instance_level s l = - match l.Level.data with - | Level.Var n -> s.(n) - | _ -> l - -let subst_instance_instance s i = - Array.smartmap (fun l -> subst_instance_level s l) i - -let subst_instance_universe s u = - let f x = Universe.Expr.map (fun u -> subst_instance_level s u) x in - let u' = Universe.smartmap f u in - if u == u' then u - else Universe.sort u' - -let subst_instance_constraint s (u,d,v as c) = - let u' = subst_instance_level s u in - let v' = subst_instance_level s v in - if u' == u && v' == v then c - else (u',d,v') - -let subst_instance_constraints s csts = - Constraint.fold - (fun c csts -> Constraint.add (subst_instance_constraint s c) csts) - csts Constraint.empty - -let subst_instance_context inst (inner_inst, inner_constr) = - (inner_inst, subst_instance_constraints inst inner_constr) - let make_abstract_instance (ctx, _) = Array.mapi (fun i l -> Level.var i) ctx -(** Substitute instance inst for ctx in csts *) -let instantiate_univ_context (ctx, csts) = - (ctx, subst_instance_constraints ctx csts) - -let instantiate_cumulativity_info (ctx, ctx') = - (instantiate_univ_context ctx, instantiate_univ_context ctx') - (** With level to universe substitutions. *) type universe_subst_fn = universe_level -> universe diff --git a/checker/univ.mli b/checker/univ.mli index 457ccbdfff..7f5aa76260 100644 --- a/checker/univ.mli +++ b/checker/univ.mli @@ -18,6 +18,8 @@ sig (** Create a new universe level from a unique identifier and an associated module path. *) + val var : int -> t + val pr : t -> Pp.std_ppcmds (** Pretty-printing *) @@ -179,6 +181,8 @@ sig val length : t -> int (** Compute the length of the instance *) + val of_array : Level.t array -> t + val append : t -> t -> t (** Append two universe instances *) end @@ -208,32 +212,14 @@ module AUContext : sig type t - val instance : t -> Instance.t - -end - -type abstract_universe_context = AUContext.t - -module CumulativityInfo : -sig - type t - - val make : universe_context * universe_context -> t - - val empty : t - - val univ_context : t -> universe_context - val subtyp_context : t -> universe_context - - val from_universe_context : universe_context -> universe_instance -> t + val size : t -> int - val subtyping_other_instance : t -> universe_instance - - val subtyping_susbst : t -> universe_level_subst + val instantiate : Instance.t -> t -> Constraint.t + val repr : t -> UContext.t end -type cumulativity_info = CumulativityInfo.t +type abstract_universe_context = AUContext.t module ACumulativityInfo : sig @@ -276,18 +262,16 @@ val subst_univs_universe : universe_subst_fn -> universe -> universe (** Substitution of instances *) val subst_instance_instance : universe_instance -> universe_instance -> universe_instance val subst_instance_universe : universe_instance -> universe -> universe -val subst_instance_context : universe_instance -> abstract_universe_context -> universe_context (* val make_instance_subst : universe_instance -> universe_level_subst *) (* val make_inverse_instance_subst : universe_instance -> universe_level_subst *) -(** Get the instantiated graph. *) -val instantiate_univ_context : abstract_universe_context -> universe_context -val instantiate_cumulativity_info : abstract_cumulativity_info -> cumulativity_info - (** Build the relative instance corresponding to the context *) val make_abstract_instance : abstract_universe_context -> universe_instance - + +(** Check instance subtyping *) +val check_subtype : universes -> AUContext.t -> AUContext.t -> bool + (** {6 Pretty-printing of universes. } *) val pr_constraint_type : constraint_type -> Pp.std_ppcmds |
