Theorems · Theorem · category theory
CochainComplex.isKProjective_of_projective
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
(K : CochainComplex C ℤ) (d : ℤ) [K.IsStrictlyLE d] [∀ (n : ℤ), CategoryTheory.Projective (K.X n)], K.IsKProjective- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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.Functor.objproof · cited by 19,642
- Oppositeproof · cited by 8,081
- HomologicalComplex.Xstatement and proof · cited by 1,839
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Equivalence.functorproof · cited by 1,268
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- ComplexShape.Embedding.fproof · cited by 251
- CategoryTheory.Projectivestatement and proof · cited by 78
- CategoryTheory.Injectiveproof · cited by 70
- CochainComplex.IsStrictlyGEproof · cited by 34
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