Theorems · Definition · category theory

CategoryTheory.ToHom

{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 → C → Type u_1

ToHom X Y is the type of (bundled) functions between objects X Y : C. This is an abbrev so that instances (e.g. RingHomClass) do not need to be redeclared.

Defined in

Mathlib.CategoryTheory.ConcreteCategory.Basic

Cited by

6 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory