Theorems · Definition · category theory

CategoryTheory.ToType

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {FC : C → C → Type u_1} →
      {CC : C → Type w} →
        [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] → [CategoryTheory.ConcreteCategory C FC] → C → Type w

ToType X converts the object X of the concrete category C to a type. This is an abbrev so that instances on X (e.g. Ring) do not need to be redeclared.

Defined in

Mathlib.CategoryTheory.ConcreteCategory.Basic

Cited by

219 results in Mathlib

Foundations

Depth 4 from the axioms, rests on 6 definitions · uses no axioms

Assumes

CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory