Theorems · Theorem · category theory

CategoryTheory.Functor.map_commSq

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D) {W X Y Z : C} {f : W ⟶ X} {g : W ⟶ Y}
  {h : X ⟶ Z} {i : Y ⟶ Z}, CategoryTheory.CommSq f g h i → CategoryTheory.CommSq (F.map f) (F.map g) (F.map h) (F.map i)

Defined in

Mathlib.CategoryTheory.CommSq

Cited by

3 results in Mathlib

Foundations

Depth 10 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category