Theorems · Theorem · category theory

CategoryTheory.CommSq.w

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W X Y Z : C} {f : W ⟶ X} {g : W ⟶ Y} {h : X ⟶ Z}
  {i : Y ⟶ Z},
  CategoryTheory.CommSq f g h i → CategoryTheory.CategoryStruct.comp f h = CategoryTheory.CategoryStruct.comp g i

The square commutes.

Defined in

Mathlib.CategoryTheory.CommSq

Cited by

122 results in Mathlib

Foundations

Depth 3 from the axioms, rests on 9 definitions · uses no axioms

Assumes

CategoryTheory.Category