Theorems · Definition · category theory

CategoryTheory.WithInitial.map

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u_1} →
      [inst_1 : CategoryTheory.Category.{v_1, u_1} D] →
        CategoryTheory.Functor C D →
          CategoryTheory.Functor (CategoryTheory.WithInitial C) (CategoryTheory.WithInitial D)

Map WithInitial with respect to a functor F : C ⥤ D.

Defined in

Mathlib.CategoryTheory.WithTerminal.Basic

Cited by

11 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category