Theorems · Theorem · category theory
CategoryTheory.HasLiftingProperty.op
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {A B X Y : C} {i : A ⟶ B} {p : X ⟶ Y},
CategoryTheory.HasLiftingProperty i p → CategoryTheory.HasLiftingProperty p.op i.op- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
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
- Oppositestatement · cited by 8,081
- Quiver.Hom.opstatement and proof · cited by 1,948
- CategoryTheory.CommSqproof · cited by 158
- CategoryTheory.HasLiftingPropertystatement and proof · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.HasLiftingProperty.iff_unopproof · cited by 0
- CategoryTheory.HasLiftingProperty.iff_opproof · cited by 0