Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.respectsIso_of_isStableUnderComposition
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P : CategoryTheory.MorphismProperty C}
[P.IsStableUnderComposition], CategoryTheory.MorphismProperty.isomorphisms C ≤ P → P.RespectsIso- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Homproof · cited by 32,603
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Isoproof · cited by 3,963
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.RespectsIsostatement · cited by 248
- CategoryTheory.MorphismProperty.IsStableUnderCompositionstatement and proof · cited by 84
- CategoryTheory.MorphismProperty.isomorphismsstatement and proof · cited by 66
- CategoryTheory.MorphismProperty.comp_memproof · cited by 48
- CategoryTheory.MorphismProperty.RespectsIso.mkproof · cited by 4
- CategoryTheory.MorphismProperty.isomorphisms.infer_propertyproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.topologically_respectsIsoproof · cited by 0