Theorems · Theorem · category theory
CategoryTheory.Abelian.coimIsoIm_hom_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
(X : CategoryTheory.Arrow C),
CategoryTheory.Abelian.coimIsoIm.hom.app X = CategoryTheory.Abelian.coimageImageComparison X.hom- Defined in
- Mathlib.CategoryTheory.Abelian.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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 · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Arrowstatement and proof · cited by 713
- CategoryTheory.Arrow.leftstatement · cited by 426
- CategoryTheory.Arrow.rightstatement · cited by 423
- CategoryTheory.Arrow.homstatement · cited by 335
- CategoryTheory.Abelian.coimageImageComparisonstatement · cited by 18
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