Module `Univ`Source

Sourcemodule UGlobal : sig ... end

Qualified global universe level

Sourcemodule Level : sig ... end

Universes.

Sourcemodule Universe : sig ... end

univ_level_mem l u Is l is mentioned in u ?

Sourceval univ_level_mem : Level.t -> Universe.t -> bool

univ_level_rem u v min removes u from v, resulting in min if v was exactly u.

Sourceval univ_level_rem : Level.t -> Universe.t -> Universe.t -> Universe.t

Constraints.

Sourcetype constraint_type = AcyclicGraph.constraint_type =

| Lt
| Le
| Eq

Sourcetype univ_constraint = Level.t * constraint_type * Level.t

Sourcemodule Constraints : sig ... end

Sourcetype 'a constrained = 'a * Constraints.t

A value with universe Constraints.t.

Sourceval constraints_of : 'a constrained -> Constraints.t

Constrained

Sourcetype 'a constraint_function = 'a -> 'a -> Constraints.t -> Constraints.t

Enforcing Constraints.t.

Sourceval enforce_eq_level : Level.t constraint_function

Sourceval enforce_leq_level : Level.t constraint_function

Universe contexts (as sets)

A set of universes with universe Constraints.t. We linearize the set to a list after typechecking. Beware, representation could change.

Sourcemodule ContextSet : sig ... end

Sourcetype 'a in_universe_context_set = 'a * ContextSet.t

A value in a universe context set.

Substitution

Sourcetype universe_level_subst = Level.t Level.Map.t

Sourceval empty_level_subst : universe_level_subst

Sourceval is_empty_level_subst : universe_level_subst -> bool

Sourceval subst_univs_level_level : universe_level_subst -> Level.t -> Level.t

Substitution of universes.

Source

val subst_univs_level_universe : 
  universe_level_subst ->
  Universe.t ->
  Universe.t

Source

val subst_univs_level_constraints : 
  universe_level_subst ->
  Constraints.t ->
  Constraints.t

Pretty-printing of universes.

Sourceval pr_constraint_type : constraint_type -> Pp.t

Sourceval pr_universe_context_set : (Level.t -> Pp.t) -> ContextSet.t -> Pp.t

Sourceval pr_universe_level_subst : (Level.t -> Pp.t) -> universe_level_subst -> Pp.t

Hash-consing

Sourceval hcons_univ : Universe.t -> Universe.t

Sourceval hcons_constraints : Constraints.t -> Constraints.t

Sourceval hcons_universe_set : Level.Set.t -> Level.Set.t

Sourceval hcons_universe_context_set : ContextSet.t -> ContextSet.t

Install

Dune Dependency

Authors

Maintainers

Sources

doc/coq-core.kernel/Univ/index.html

Module `Univ`Source

Constraints.

Substitution

Pretty-printing of universes.

Hash-consing

package coq-core

Install

Dune Dependency

Authors

Maintainers

Sources

doc/coq-core.kernel/Univ/index.html

Module UnivSource

Constraints.

Substitution

Pretty-printing of universes.

Hash-consing

Module `Univ`Source