Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.isoModSerre_of_epi
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
(P : CategoryTheory.ObjectProperty C) [inst_2 : P.IsSerreClass] {X Y : C} (f : X ⟶ Y) [CategoryTheory.Epi f],
P.monoModSerre f → P.isoModSerre f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 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.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Epistatement and proof · cited by 688
- CategoryTheory.ObjectProperty.IsSerreClassstatement and proof · cited by 61
- CategoryTheory.ObjectProperty.isoModSerrestatement · cited by 50
- CategoryTheory.ObjectProperty.monoModSerrestatement and proof · cited by 16
- CategoryTheory.ObjectProperty.isoModSerre_iff_of_epiproof · cited by 3
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