Theorems · Definition · category theory

CategoryTheory.Functor.toCatHom

{C D : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Category.{v, u} D] →
      CategoryTheory.Functor C D → (CategoryTheory.Cat.of C ⟶ CategoryTheory.Cat.of D)

The 1-morphism in Cat corresponding to a functor.

Defined in

Mathlib.CategoryTheory.Category.Cat

Cited by

124 results in Mathlib

Foundations

Depth 12 from the axioms, rests on 43 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category