Theorems · Theorem · category theory

CategoryTheory.Functor.inv_whiskerLeft

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] (F : CategoryTheory.Functor C D)
  {G H : CategoryTheory.Functor D E} (α : G ⟶ H) [inst_3 : CategoryTheory.IsIso α],
  CategoryTheory.inv (F.whiskerLeft α) = F.whiskerLeft (CategoryTheory.inv α)

Defined in

Mathlib.CategoryTheory.Whiskering

Cited by

3 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.IsIso