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(** * Categories *)
(** We collect here all of the files about categories. *)
(** Since there are only notations in [Category.Notations], we can just export those. *)
[Loading ML file number_string_notation_plugin.cmxs (using legacy method) ... done]
(** ** Definition of precategories *) Require Category.Core. (** ** Opposite precategories *) Require Category.Dual. (** ** Morphisms in precategories *) Require Category.Morphisms. (** ** Classification of path space *) Require Category.Paths. (** ** Universal objects *) Require Category.Objects. (** ** Product precategories *) Require Category.Prod. (** ** Dependent product precategories *) Require Category.Pi. (** ** ∑-precategories *) Require Category.Sigma. (** ** Strict categories *) Require Category.Strict. (** ** Coproduct precategories *) Require Category.Sum. (** ** Categories (univalent or saturated) *) Require Category.Univalent. Local Set Warnings Append "-notation-overridden". Include Category.Core. Include Category.Dual. Include Category.Morphisms. Include Category.Paths. Include Category.Objects. Include Category.Prod. Include Category.Pi. (** We use the [Sigma] folder only to allow us to split up the various files and group conceptually similar lemmas, but not for namespacing. So we include the main file in it. *) Include Category.Sigma. Include Category.Strict. Include Category.Sum. Include Category.Univalent. (** We don't want to make utf-8 notations the default, so we don't export them. *) (** ** Subcategories *) (** For the subfolders, we need to re-create the module structure. Alas, namespacing in Coq is kind-of broken (see, e.g., https://coq.inria.fr/bugs/show_bug.cgi?id=3676), so we don't get the ability to rename subfolders by [Including] into other modules. *) Require Category.Subcategory.