Theorems · Theorem · category theory

CategoryTheory.Idempotents.karoubiChainComplexEquivalence_functor_obj_X_X

∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C] (α : Type u_3)
  [inst_2 : AddRightCancelSemigroup α] [inst_3 : One α]
  (P : CategoryTheory.Idempotents.Karoubi (HomologicalComplex C (ComplexShape.down α))) (n : α),
  (((CategoryTheory.Idempotents.karoubiChainComplexEquivalence C α).functor.obj P).X n).X = P.X.X n

Defined in

Mathlib.CategoryTheory.Idempotents.HomologicalComplex

Cited by

0 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveAddRightCancelSemigroupOne