Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.isoModSerre_of_isIso

∀ {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.IsIso f],
  P.isoModSerre f

Defined in: Mathlib.CategoryTheory.Abelian.SerreClass.MorphismProperty
Cited by: 0 results in Mathlib
Foundations: Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Abelian CategoryTheory.ObjectProperty.IsSerreClass CategoryTheory.IsIso

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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.ObjectPropertystatement and proof · cited by 798
CategoryTheory.ObjectProperty.IsSerreClassstatement and proof · cited by 61
CategoryTheory.ObjectProperty.isoModSerrestatement · cited by 50
CategoryTheory.MorphismProperty.isomorphisms.infer_propertyproof · cited by 3
CategoryTheory.ObjectProperty.isomorphisms_le_isoModSerreproof · cited by 1

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