diff options
Diffstat (limited to 'engine')
| -rw-r--r-- | engine/eConstr.ml | 5 | ||||
| -rw-r--r-- | engine/eConstr.mli | 1 | ||||
| -rw-r--r-- | engine/evarutil.ml | 170 | ||||
| -rw-r--r-- | engine/evarutil.mli | 11 | ||||
| -rw-r--r-- | engine/evd.ml | 2 | ||||
| -rw-r--r-- | engine/proofview.ml | 30 | ||||
| -rw-r--r-- | engine/termops.ml | 12 | ||||
| -rw-r--r-- | engine/termops.mli | 10 | ||||
| -rw-r--r-- | engine/uState.ml | 22 | ||||
| -rw-r--r-- | engine/universes.ml | 78 | ||||
| -rw-r--r-- | engine/universes.mli | 5 |
11 files changed, 280 insertions, 66 deletions
diff --git a/engine/eConstr.ml b/engine/eConstr.ml index a65b3941ef..9ac16b5b48 100644 --- a/engine/eConstr.ml +++ b/engine/eConstr.ml @@ -695,6 +695,10 @@ let cast_rel_context : type a b. (a,b) eq -> (a, a) Rel.pt -> (b, b) Rel.pt = fun Refl x -> x +let cast_rec_decl : + type a b. (a,b) eq -> (a, a) Constr.prec_declaration -> (b, b) Constr.prec_declaration = + fun Refl x -> x + let cast_named_decl : type a b. (a,b) eq -> (a, a) Named.Declaration.pt -> (b, b) Named.Declaration.pt = fun Refl x -> x @@ -817,6 +821,7 @@ let it_mkLambda_or_LetIn t ctx = List.fold_left (fun c d -> mkLambda_or_LetIn d let push_rel d e = push_rel (cast_rel_decl unsafe_eq d) e let push_rel_context d e = push_rel_context (cast_rel_context unsafe_eq d) e +let push_rec_types d e = push_rec_types (cast_rec_decl unsafe_eq d) e let push_named d e = push_named (cast_named_decl unsafe_eq d) e let push_named_context d e = push_named_context (cast_named_context unsafe_eq d) e let push_named_context_val d e = push_named_context_val (cast_named_decl unsafe_eq d) e diff --git a/engine/eConstr.mli b/engine/eConstr.mli index 30de748a19..6fa338c73d 100644 --- a/engine/eConstr.mli +++ b/engine/eConstr.mli @@ -251,6 +251,7 @@ end val push_rel : rel_declaration -> env -> env val push_rel_context : rel_context -> env -> env +val push_rec_types : (t, t) Constr.prec_declaration -> env -> env val push_named : named_declaration -> env -> env val push_named_context : named_context -> env -> env diff --git a/engine/evarutil.ml b/engine/evarutil.ml index 3445b744a1..f82ffccdc3 100644 --- a/engine/evarutil.ml +++ b/engine/evarutil.ml @@ -257,22 +257,6 @@ let make_pure_subst evi args = * we have the property that u and phi(t) are convertible in env. *) -let csubst_subst (k, s) c = - (** Safe because this is a substitution *) - let c = EConstr.Unsafe.to_constr c in - let rec subst n c = match Constr.kind c with - | Rel m -> - if m <= n then c - else if m - n <= k then EConstr.Unsafe.to_constr (Int.Map.find (k - m + n) s) - else mkRel (m - k) - | _ -> Constr.map_with_binders succ subst n c - in - let c = if k = 0 then c else subst 0 c in - EConstr.of_constr c - -let subst2 subst vsubst c = - csubst_subst subst (EConstr.Vars.replace_vars vsubst c) - let next_ident_away id avoid = let avoid id = Id.Set.mem id avoid in next_ident_away_from id avoid @@ -282,19 +266,79 @@ let next_name_away na avoid = let id = match na with Name id -> id | Anonymous -> default_non_dependent_ident in next_ident_away_from id avoid -type csubst = int * EConstr.t Int.Map.t - -let empty_csubst = (0, Int.Map.empty) +type subst_val = +| SRel of int +| SVar of Id.t + +type csubst = { + csubst_len : int; + (** Cardinal of [csubst_rel] *) + csubst_var : Constr.t Id.Map.t; + (** A mapping of variables to variables. We use the more general + [Constr.t] to share allocations, but all values are of shape [Var _]. *) + csubst_rel : Constr.t Int.Map.t; + (** A contiguous mapping of integers to variables. Same remark for values. *) + csubst_rev : subst_val Id.Map.t; + (** Reverse mapping of the substitution *) +} +(** This type represent a name substitution for the named and De Bruijn parts of + a environment. For efficiency we also store the reverse substitution. + Invariant: all identifiers in the codomain of [csubst_var] and [csubst_rel] + must be pairwise distinct. *) + +let empty_csubst = { + csubst_len = 0; + csubst_rel = Int.Map.empty; + csubst_var = Id.Map.empty; + csubst_rev = Id.Map.empty; +} + +let csubst_subst { csubst_len = k; csubst_var = v; csubst_rel = s } c = + (** Safe because this is a substitution *) + let c = EConstr.Unsafe.to_constr c in + let rec subst n c = match Constr.kind c with + | Rel m -> + if m <= n then c + else if m - n <= k then Int.Map.find (k - m + n) s + else mkRel (m - k) + | Var id -> + begin try Id.Map.find id v with Not_found -> c end + | _ -> Constr.map_with_binders succ subst n c + in + let c = if k = 0 && Id.Map.is_empty v then c else subst 0 c in + EConstr.of_constr c type ext_named_context = - csubst * (Id.t * EConstr.constr) list * - Id.Set.t * EConstr.named_context - -let push_var id (n, s) = - let s = Int.Map.add n (EConstr.mkVar id) s in - (succ n, s) - -let push_rel_decl_to_named_context sigma decl (subst, vsubst, avoid, nc) = + csubst * Id.Set.t * EConstr.named_context + +let push_var id { csubst_len = n; csubst_var = v; csubst_rel = s; csubst_rev = r } = + let s = Int.Map.add n (Constr.mkVar id) s in + let r = Id.Map.add id (SRel n) r in + { csubst_len = succ n; csubst_var = v; csubst_rel = s; csubst_rev = r } + +(** Post-compose the substitution with the generator [src ↦ tgt] *) +let update_var src tgt subst = + let cur = + try Some (Id.Map.find src subst.csubst_rev) + with Not_found -> None + in + match cur with + | None -> + (** Missing keys stand for identity substitution [src ↦ src] *) + let csubst_var = Id.Map.add src (Constr.mkVar tgt) subst.csubst_var in + let csubst_rev = Id.Map.add tgt (SVar src) subst.csubst_rev in + { subst with csubst_var; csubst_rev } + | Some bnd -> + let csubst_rev = Id.Map.add tgt bnd (Id.Map.remove src subst.csubst_rev) in + match bnd with + | SRel m -> + let csubst_rel = Int.Map.add m (Constr.mkVar tgt) subst.csubst_rel in + { subst with csubst_rel; csubst_rev } + | SVar id -> + let csubst_var = Id.Map.add id (Constr.mkVar tgt) subst.csubst_var in + { subst with csubst_var; csubst_rev } + +let push_rel_decl_to_named_context sigma decl (subst, avoid, nc) = let open EConstr in let open Vars in let map_decl f d = @@ -330,18 +374,17 @@ let push_rel_decl_to_named_context sigma decl (subst, vsubst, avoid, nc) = binding named [id], we will keep [id0] (the name given by the user) and rename [id0] into [id] in the named context. Unless [id] is a section variable. *) - let subst = (fst subst, Int.Map.map (replace_vars [id0,mkVar id]) (snd subst)) in - let vsubst = (id0,mkVar id)::vsubst in - let d = decl |> NamedDecl.of_rel_decl (fun _ -> id0) |> map_decl (subst2 subst vsubst) in + let subst = update_var id0 id subst in + let d = decl |> NamedDecl.of_rel_decl (fun _ -> id0) |> map_decl (csubst_subst subst) in let nc = List.map (replace_var_named_declaration id0 id) nc in - (push_var id0 subst, vsubst, Id.Set.add id avoid, d :: nc) + (push_var id0 subst, Id.Set.add id avoid, d :: nc) | _ -> (* spiwack: if [id0] is a section variable renaming it is incorrect. We revert to a less robust behaviour where the new binder has name [id]. Which amounts to the same behaviour than when [id=id0]. *) - let d = decl |> NamedDecl.of_rel_decl (fun _ -> id) |> map_decl (subst2 subst vsubst) in - (push_var id subst, vsubst, Id.Set.add id avoid, d :: nc) + let d = decl |> NamedDecl.of_rel_decl (fun _ -> id) |> map_decl (csubst_subst subst) in + (push_var id subst, Id.Set.add id avoid, d :: nc) let push_rel_context_to_named_context env sigma typ = (* compute the instances relative to the named context and rel_context *) @@ -350,17 +393,17 @@ let push_rel_context_to_named_context env sigma typ = let ids = List.map get_id (named_context env) in let inst_vars = List.map mkVar ids in if List.is_empty (Environ.rel_context env) then - (named_context_val env, typ, inst_vars, empty_csubst, []) + (named_context_val env, typ, inst_vars, empty_csubst) else let avoid = List.fold_right Id.Set.add ids Id.Set.empty in let inst_rels = List.rev (rel_list 0 (nb_rel env)) in (* move the rel context to a named context and extend the named instance *) (* with vars of the rel context *) (* We do keep the instances corresponding to local definition (see above) *) - let (subst, vsubst, _, env) = + let (subst, _, env) = Context.Rel.fold_outside (fun d acc -> push_rel_decl_to_named_context sigma d acc) - (rel_context env) ~init:(empty_csubst, [], avoid, named_context env) in - (val_of_named_context env, subst2 subst vsubst typ, inst_rels@inst_vars, subst, vsubst) + (rel_context env) ~init:(empty_csubst, avoid, named_context env) in + (val_of_named_context env, csubst_subst subst typ, inst_rels@inst_vars, subst) (*------------------------------------* * Entry points to define new evars * @@ -425,8 +468,8 @@ let new_evar_from_context sign evd ?src ?filter ?candidates ?store ?naming ?prin (* [new_evar] declares a new existential in an env env with type typ *) (* Converting the env into the sign of the evar to define *) let new_evar env evd ?src ?filter ?candidates ?store ?naming ?principal typ = - let sign,typ',instance,subst,vsubst = push_rel_context_to_named_context env evd typ in - let map c = subst2 subst vsubst c in + let sign,typ',instance,subst = push_rel_context_to_named_context env evd typ in + let map c = csubst_subst subst c in let candidates = Option.map (fun l -> List.map map l) candidates in let instance = match filter with @@ -692,6 +735,55 @@ let undefined_evars_of_evar_info evd evi = (undefined_evars_of_named_context evd (named_context_of_val evi.evar_hyps))) +type undefined_evars_cache = { + mutable cache : (EConstr.named_declaration * Evar.Set.t) ref Id.Map.t; +} + +let create_undefined_evars_cache () = { cache = Id.Map.empty; } + +let cached_evar_of_hyp cache sigma decl accu = match cache with +| None -> + let fold c acc = + let evs = undefined_evars_of_term sigma c in + Evar.Set.union evs acc + in + NamedDecl.fold_constr fold decl accu +| Some cache -> + let id = NamedDecl.get_id decl in + let r = + try Id.Map.find id cache.cache + with Not_found -> + (** Dummy value *) + let r = ref (NamedDecl.LocalAssum (id, EConstr.mkProp), Evar.Set.empty) in + let () = cache.cache <- Id.Map.add id r cache.cache in + r + in + let (decl', evs) = !r in + let evs = + if NamedDecl.equal (==) decl decl' then snd !r + else + let fold c acc = + let evs = undefined_evars_of_term sigma c in + Evar.Set.union evs acc + in + let evs = NamedDecl.fold_constr fold decl Evar.Set.empty in + let () = r := (decl, evs) in + evs + in + Evar.Set.fold Evar.Set.add evs accu + +let filtered_undefined_evars_of_evar_info ?cache sigma evi = + let evars_of_named_context cache accu nc = + let fold decl accu = cached_evar_of_hyp cache sigma (EConstr.of_named_decl decl) accu in + Context.Named.fold_outside fold nc ~init:accu + in + let accu = match evi.evar_body with + | Evar_empty -> Evar.Set.empty + | Evar_defined b -> evars_of_term b + in + let accu = Evar.Set.union (undefined_evars_of_term sigma (EConstr.of_constr evi.evar_concl)) accu in + evars_of_named_context cache accu (evar_filtered_context evi) + (* spiwack: this is a more complete version of {!Termops.occur_evar}. The latter does not look recursively into an [evar_map]. If unification only need to check superficially, tactics diff --git a/engine/evarutil.mli b/engine/evarutil.mli index 9d0b973a7e..923bf49a9c 100644 --- a/engine/evarutil.mli +++ b/engine/evarutil.mli @@ -133,6 +133,12 @@ val undefined_evars_of_term : evar_map -> constr -> Evar.Set.t val undefined_evars_of_named_context : evar_map -> Context.Named.t -> Evar.Set.t val undefined_evars_of_evar_info : evar_map -> evar_info -> Evar.Set.t +type undefined_evars_cache + +val create_undefined_evars_cache : unit -> undefined_evars_cache + +val filtered_undefined_evars_of_evar_info : ?cache:undefined_evars_cache -> evar_map -> evar_info -> Evar.Set.t + (** [occur_evar_upto sigma k c] returns [true] if [k] appears in [c]. It looks up recursively in [sigma] for the value of existential variables. *) @@ -216,14 +222,13 @@ val empty_csubst : csubst val csubst_subst : csubst -> constr -> constr type ext_named_context = - csubst * (Id.t * constr) list * - Id.Set.t * named_context + csubst * Id.Set.t * named_context val push_rel_decl_to_named_context : evar_map -> rel_declaration -> ext_named_context -> ext_named_context val push_rel_context_to_named_context : Environ.env -> evar_map -> types -> - named_context_val * types * constr list * csubst * (Id.t*constr) list + named_context_val * types * constr list * csubst val generalize_evar_over_rels : evar_map -> existential -> types * constr list diff --git a/engine/evd.ml b/engine/evd.ml index e33c851f6e..0e94721589 100644 --- a/engine/evd.ml +++ b/engine/evd.ml @@ -855,7 +855,7 @@ let normalize_universe evd = let normalize_universe_instance evd l = let vars = ref (UState.subst evd.universes) in - let normalize = Univ.level_subst_of (Universes.normalize_univ_variable_opt_subst vars) in + let normalize = Universes.level_subst_of (Universes.normalize_univ_variable_opt_subst vars) in Univ.Instance.subst_fn normalize l let normalize_sort evars s = diff --git a/engine/proofview.ml b/engine/proofview.ml index 3b945c87f9..0a64351950 100644 --- a/engine/proofview.ml +++ b/engine/proofview.ml @@ -634,32 +634,42 @@ let shelve_goals l = InfoL.leaf (Info.Tactic (fun () -> Pp.str"shelve_goals")) >> Shelf.modify (fun gls -> gls @ l) -(** [contained_in_info e evi] checks whether the evar [e] appears in - the hypotheses, the conclusion or the body of the evar_info - [evi]. Note: since we want to use it on goals, the body is actually - supposed to be empty. *) -let contained_in_info sigma e evi = - Evar.Set.mem e (Evd.evars_of_filtered_evar_info (Evarutil.nf_evar_info sigma evi)) - (** [depends_on sigma src tgt] checks whether the goal [src] appears as an existential variable in the definition of the goal [tgt] in [sigma]. *) let depends_on sigma src tgt = let evi = Evd.find sigma tgt in - contained_in_info sigma src evi + Evar.Set.mem src (Evd.evars_of_filtered_evar_info (Evarutil.nf_evar_info sigma evi)) + +let unifiable_delayed g l = + CList.exists (fun (tgt, lazy evs) -> not (Evar.equal g tgt) && Evar.Set.mem g evs) l + +let free_evars sigma l = + let cache = Evarutil.create_undefined_evars_cache () in + let map ev = + (** Computes the set of evars appearing in the hypotheses, the conclusion or + the body of the evar_info [evi]. Note: since we want to use it on goals, + the body is actually supposed to be empty. *) + let evi = Evd.find sigma ev in + let fevs = lazy (Evarutil.filtered_undefined_evars_of_evar_info ~cache sigma evi) in + (ev, fevs) + in + List.map map l (** [unifiable sigma g l] checks whether [g] appears in another subgoal of [l]. The list [l] may contain [g], but it does not affect the result. *) let unifiable sigma g l = - CList.exists (fun tgt -> not (Evar.equal g tgt) && depends_on sigma g tgt) l + let l = free_evars sigma l in + unifiable_delayed g l (** [partition_unifiable sigma l] partitions [l] into a pair [(u,n)] where [u] is composed of the unifiable goals, i.e. the goals on whose definition other goals of [l] depend, and [n] are the non-unifiable goals. *) let partition_unifiable sigma l = - CList.partition (fun g -> unifiable sigma g l) l + let fevs = free_evars sigma l in + CList.partition (fun g -> unifiable_delayed g fevs) l (** Shelves the unifiable goals under focus, i.e. the goals which appear in other goals under focus (the unfocused goals are not diff --git a/engine/termops.ml b/engine/termops.ml index a71bdff31e..40b3d0d8b6 100644 --- a/engine/termops.ml +++ b/engine/termops.ml @@ -1463,6 +1463,18 @@ let prod_applist sigma c l = | _ -> anomaly (Pp.str "Not enough prod's.") in app [] c l +let prod_applist_assum sigma n c l = + let open EConstr in + let rec app n subst c l = + if Int.equal n 0 then + if l == [] then Vars.substl subst c + else anomaly (Pp.str "Not enough arguments.") + else match EConstr.kind sigma c, l with + | Prod(_,_,c), arg::l -> app (n-1) (arg::subst) c l + | LetIn(_,b,_,c), _ -> app (n-1) (Vars.substl subst b::subst) c l + | _ -> anomaly (Pp.str "Not enough prod/let's.") in + app n [] c l + (* Combinators on judgments *) let on_judgment f j = { uj_val = f j.uj_val; uj_type = f j.uj_type } diff --git a/engine/termops.mli b/engine/termops.mli index c1600abe80..a3559a693b 100644 --- a/engine/termops.mli +++ b/engine/termops.mli @@ -159,8 +159,18 @@ val eta_reduce_head : Evd.evar_map -> constr -> constr (** Flattens application lists *) val collapse_appl : Evd.evar_map -> constr -> constr +(** [prod_applist] [forall (x1:B1;...;xn:Bn), B] [a1...an] @return [B[a1...an]] *) val prod_applist : Evd.evar_map -> constr -> constr list -> constr +(** In [prod_applist_assum n c args], [c] is supposed to have the + form [∀Γ.c] with [Γ] of length [m] and possibly with let-ins; it + returns [c] with the assumptions of [Γ] instantiated by [args] and + the local definitions of [Γ] expanded. + Note that [n] counts both let-ins and prods, while the length of [args] + only counts prods. In other words, varying [n] changes how many + trailing let-ins are expanded. *) +val prod_applist_assum : Evd.evar_map -> int -> constr -> constr list -> constr + (** Remove recursively the casts around a term i.e. [strip_outer_cast (Cast (Cast ... (Cast c, t) ... ))] is [c]. *) val strip_outer_cast : Evd.evar_map -> constr -> constr diff --git a/engine/uState.ml b/engine/uState.ml index 6131f4c033..4b650c9c94 100644 --- a/engine/uState.ml +++ b/engine/uState.ml @@ -201,14 +201,18 @@ let process_universe_constraints ctx cstrs = | None -> user_err Pp.(str "Algebraic universe on the right") | Some r' -> if Univ.Level.is_small r' then - let levels = Univ.Universe.levels l in - let fold l' local = - let l = Univ.Universe.make l' in - if Univ.Level.is_small l' || is_local l' then - equalize_variables false l l' r r' local - else raise (Univ.UniverseInconsistency (Univ.Le, l, r, None)) - in - Univ.LSet.fold fold levels local + if not (Univ.Universe.is_levels l) + then + raise (Univ.UniverseInconsistency (Univ.Le, l, r, None)) + else + let levels = Univ.Universe.levels l in + let fold l' local = + let l = Univ.Universe.make l' in + if Univ.Level.is_small l' || is_local l' then + equalize_variables false l l' r r' local + else raise (Univ.UniverseInconsistency (Univ.Le, l, r, None)) + in + Univ.LSet.fold fold levels local else Univ.enforce_leq l r local end @@ -516,7 +520,7 @@ let is_sort_variable uctx s = | _ -> None let subst_univs_context_with_def def usubst (ctx, cst) = - (Univ.LSet.diff ctx def, Univ.subst_univs_constraints usubst cst) + (Univ.LSet.diff ctx def, Universes.subst_univs_constraints usubst cst) let normalize_variables uctx = let normalized_variables, undef, def, subst = diff --git a/engine/universes.ml b/engine/universes.ml index 30490ec56a..eaddf98a83 100644 --- a/engine/universes.ml +++ b/engine/universes.ml @@ -181,6 +181,30 @@ let enforce_eq_instances_univs strict x y c = (fun x y -> Constraints.add (Universe.make x, d, Universe.make y)) ax ay c +let enforce_univ_constraint (u,d,v) = + match d with + | Eq -> enforce_eq u v + | Le -> enforce_leq u v + | Lt -> enforce_leq (super u) v + +let subst_univs_level fn l = + try Some (fn l) + with Not_found -> None + +let subst_univs_constraint fn (u,d,v as c) cstrs = + let u' = subst_univs_level fn u in + let v' = subst_univs_level fn v in + match u', v' with + | None, None -> Constraint.add c cstrs + | Some u, None -> enforce_univ_constraint (u,d,Universe.make v) cstrs + | None, Some v -> enforce_univ_constraint (Universe.make u,d,v) cstrs + | Some u, Some v -> enforce_univ_constraint (u,d,v) cstrs + +let subst_univs_constraints subst csts = + Constraint.fold + (fun c cstrs -> subst_univs_constraint subst c cstrs) + csts Constraint.empty + let subst_univs_universe_constraint fn (u,d,v) = let u' = subst_univs_universe fn u and v' = subst_univs_universe fn v in if Universe.equal u' v' then None @@ -519,13 +543,60 @@ let choose_canonical ctx flexible algs s = let canon = LSet.choose algs in canon, (global, rigid, LSet.remove canon flexible) +let level_subst_of f = + fun l -> + try let u = f l in + match Universe.level u with + | None -> l + | Some l -> l + with Not_found -> l + +let subst_univs_fn_constr f c = + let changed = ref false in + let fu = Univ.subst_univs_universe f in + let fi = Univ.Instance.subst_fn (level_subst_of f) in + let rec aux t = + match kind t with + | Sort (Sorts.Type u) -> + let u' = fu u in + if u' == u then t else + (changed := true; mkSort (Sorts.sort_of_univ u')) + | Const (c, u) -> + let u' = fi u in + if u' == u then t + else (changed := true; mkConstU (c, u')) + | Ind (i, u) -> + let u' = fi u in + if u' == u then t + else (changed := true; mkIndU (i, u')) + | Construct (c, u) -> + let u' = fi u in + if u' == u then t + else (changed := true; mkConstructU (c, u')) + | _ -> map aux t + in + let c' = aux c in + if !changed then c' else c + +let subst_univs_constr subst c = + if Univ.is_empty_subst subst then c + else + let f = Univ.make_subst subst in + subst_univs_fn_constr f c + +let subst_univs_constr = + if Flags.profile then + let subst_univs_constr_key = CProfile.declare_profile "subst_univs_constr" in + CProfile.profile2 subst_univs_constr_key subst_univs_constr + else subst_univs_constr + let subst_univs_fn_puniverses lsubst (c, u as cu) = let u' = Instance.subst_fn lsubst u in if u' == u then cu else (c, u') let nf_evars_and_universes_opt_subst f subst = let subst = fun l -> match LMap.find l subst with None -> raise Not_found | Some l' -> l' in - let lsubst = Univ.level_subst_of subst in + let lsubst = level_subst_of subst in let rec aux c = match kind c with | Evar (evk, args) -> @@ -605,7 +676,7 @@ let normalize_opt_subst ctx = in !ectx type universe_opt_subst = Universe.t option universe_map - + let make_opt_subst s = fun x -> (match Univ.LMap.find x s with @@ -614,8 +685,7 @@ let make_opt_subst s = let subst_opt_univs_constr s = let f = make_opt_subst s in - Vars.subst_univs_fn_constr f - + subst_univs_fn_constr f let normalize_univ_variables ctx = let ctx = normalize_opt_subst ctx in diff --git a/engine/universes.mli b/engine/universes.mli index 1a98d969b4..130dcf8bb8 100644 --- a/engine/universes.mli +++ b/engine/universes.mli @@ -154,6 +154,11 @@ val extend_context : 'a in_universe_context_set -> ContextSet.t -> module UF : Unionfind.PartitionSig with type elt = Level.t +val level_subst_of : universe_subst_fn -> universe_level_subst_fn +val subst_univs_constraints : universe_subst_fn -> Constraint.t -> Constraint.t + +val subst_univs_constr : universe_subst -> constr -> constr + type universe_opt_subst = Universe.t option universe_map val make_opt_subst : universe_opt_subst -> universe_subst_fn |
