Theorems · Theorem · category theory
CategoryTheory.Abelian.epiWithInjectiveKernel_of_iso
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C] {X Y : C} (f : X ⟶ Y)
[CategoryTheory.IsIso f], CategoryTheory.Abelian.epiWithInjectiveKernel f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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 and proof · cited by 32,603
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Limits.zero_compproof · cited by 339
- CategoryTheory.Limits.isZero_zeroproof · cited by 34
- CategoryTheory.Abelian.epiWithInjectiveKernelstatement · cited by 4
- CategoryTheory.Abelian.epiWithInjectiveKernel_iffproof · cited by 3
- CategoryTheory.ShortComplex.Splitting.ofIsZeroOfIsIsoproof · cited by 1
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