Theorems · Theorem · category theory

CategoryTheory.Over.mapComp_hom_app_left

∀ {T : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} T] {X Y Z : T} (f : X ⟶ Y) (g : Y ⟶ Z)
  (X_1 : CategoryTheory.Over X),
  ((CategoryTheory.Over.mapComp f g).hom.app X_1).left = CategoryTheory.CategoryStruct.id X_1.left

Defined in

Mathlib.CategoryTheory.Comma.Over.Basic

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category