Theorems · Theorem · category theory
CategoryTheory.Limits.epi_of_target_iso_zero
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
[CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C} (f : X ⟶ Y) (i : Y ≅ 0), CategoryTheory.Epi f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- CategoryTheory.Epistatement · cited by 688
- CategoryTheory.Limits.HasZeroObject.zero'statement · cited by 115
- CategoryTheory.Limits.zero_of_source_iso_zeroproof · cited by 7
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