Theorems · Theorem · category theory
CategoryTheory.HasLiftingProperty.of_arrow_iso_right
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {Y X Y' X' B A : C} (i : A ⟶ B) {p : X ⟶ Y}
{p' : X' ⟶ Y'} (e : CategoryTheory.Arrow.mk p ≅ CategoryTheory.Arrow.mk p')
[hip : CategoryTheory.HasLiftingProperty i p], CategoryTheory.HasLiftingProperty i p'- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Isostatement and proof · cited by 3,963
- CategoryTheory.Arrowstatement · cited by 713
- CategoryTheory.Arrow.mkstatement and proof · cited by 421
- CategoryTheory.HasLiftingPropertystatement and proof · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.HasLiftingProperty.iff_of_arrow_iso_rightproof · cited by 3
- CategoryTheory.StrongMono.of_arrow_isoproof · cited by 1