Theorems · Theorem · category theory

CategoryTheory.RetractArrow.map_r_left

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} D]
  {X Y Z W : C} {f : X ⟶ Y} {g : Z ⟶ W} (h : CategoryTheory.RetractArrow f g) (F : CategoryTheory.Functor C D),
  (h.map F).r.left = F.map (CategoryTheory.Arrow.Hom.left h.r)

Defined in

Mathlib.CategoryTheory.Retract

Cited by

0 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category