Theorems · Theorem · category theory
CategoryTheory.ProjectiveResolution.cochainComplexXIso.congr_simp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
[inst_2 : CategoryTheory.Preadditive C] {X : C} (R : CategoryTheory.ProjectiveResolution X) (n : ℤ) (k : ℕ)
(h : -↑k = n), R.cochainComplexXIso n k h = R.cochainComplexXIso n k h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xstatement · cited by 1,839
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- ComplexShape.upstatement · cited by 1,123
- ComplexShape.downstatement · cited by 605
- CategoryTheory.ProjectiveResolutionstatement and proof · cited by 92
- CategoryTheory.ProjectiveResolution.complexstatement · cited by 82
- CategoryTheory.ProjectiveResolution.cochainComplexstatement · cited by 30
- CategoryTheory.ProjectiveResolution.cochainComplexXIsostatement and proof · cited by 18
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