Theorems · Theorem · category theory

CategoryTheory.flipCompEvaluation_inv_app

∀ {A : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} A] {B : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} B]
  {C : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} C]
  (F : CategoryTheory.Functor A (CategoryTheory.Functor B C)) (a : A) (X : B),
  (CategoryTheory.flipCompEvaluation F a).inv.app X = CategoryTheory.CategoryStruct.id ((F.obj a).obj X)

Defined in

Mathlib.CategoryTheory.Products.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category