Theorems · Theorem · category theory
CategoryTheory.InjectiveResolution.ofCocomplex_exactAt_succ
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
[inst_2 : CategoryTheory.EnoughInjectives C] (Z : C) (n : ℕ),
HomologicalComplex.ExactAt (CategoryTheory.InjectiveResolution.ofCocomplex Z) (n + 1)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites28
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.ShortComplexproof · cited by 1,850
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CategoryTheory.ShortComplex.X₂proof · cited by 1,115
- CategoryTheory.ShortComplex.X₁proof · cited by 889
- CategoryTheory.ShortComplex.X₃proof · cited by 876
- CategoryTheory.ShortComplex.gproof · cited by 658
- CategoryTheory.ShortComplex.fproof · cited by 653
- HomologicalComplex.dproof · cited by 598
- CategoryTheory.ShortComplex.Exactproof · cited by 292
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