Theorems · Theorem · category theory
CategoryTheory.InjectivePresentation.shortExact_shortComplex
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] {X : C}
(ip : CategoryTheory.InjectivePresentation X), ip.shortComplex.ShortExact- Cited by
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- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Abelianstatement and proof · cited by 1,753
- CategoryTheory.ShortComplex.ShortExactstatement · cited by 232
- CategoryTheory.InjectivePresentationstatement and proof · cited by 9
- CategoryTheory.ShortComplex.exact_cokernelproof · cited by 9
- CategoryTheory.InjectivePresentation.fproof · cited by 3
- CategoryTheory.InjectivePresentation.shortComplexstatement · cited by 1
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