Theorems · Theorem · category theory
CategoryTheory.Idempotents.karoubiChainComplexEquivalence_unitIso_inv_app_f_f
∀ (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).unitIso.inv.app P).f.f n = P.p.f n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xstatement · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- HomologicalComplex.Hom.fstatement and proof · cited by 845
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