Theorems · Theorem · category theory
CategoryTheory.Idempotents.karoubiCochainComplexEquivalence_inverse_obj_p_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]
(K : HomologicalComplex (CategoryTheory.Idempotents.Karoubi C) (ComplexShape.up α)) (n : α),
((CategoryTheory.Idempotents.karoubiCochainComplexEquivalence C α).inverse.obj K).p.f n = (K.X n).p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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 and proof · cited by 19,642
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xstatement · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- ComplexShape.upstatement and proof · cited by 1,123
- CochainComplexstatement · cited by 1,016
- HomologicalComplex.Hom.fstatement and proof · cited by 845
- HomologicalComplex.dstatement · cited by 598
- ComplexShape.Relstatement · cited by 518
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