Theorems · Theorem · category theory

CategoryTheory.Idempotents.app_idem

∀ {J : Type u_1} {C : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} J]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} C] (P : CategoryTheory.Idempotents.Karoubi (CategoryTheory.Functor J C))
  (X : J), CategoryTheory.CategoryStruct.comp (P.p.app X) (P.p.app X) = P.p.app X

Defined in

Mathlib.CategoryTheory.Idempotents.FunctorCategories

Cited by

2 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category