Theorems · Theorem · category theory
CategoryTheory.Abelian.epi_snd_of_isLimit
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Abelian C]
[CategoryTheory.Limits.HasPullbacks C] {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) [CategoryTheory.Epi f]
{s : CategoryTheory.Limits.PullbackCone f g} (hs : CategoryTheory.Limits.IsLimit s), CategoryTheory.Epi s.snd- Defined in
- Mathlib.CategoryTheory.Abelian.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
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.NatTrans.appproof · cited by 7,406
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.Cone.ptstatement · cited by 1,298
- CategoryTheory.Epistatement and proof · cited by 688
- CategoryTheory.Limits.IsLimitstatement and proof · cited by 664
- CategoryTheory.Limits.Cone.πproof · cited by 500
- CategoryTheory.Limits.WalkingCospanstatement · cited by 496
- CategoryTheory.Limits.cospanstatement and proof · cited by 467
- CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
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