Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.MapFactorizationData.hp
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W₁ W₂ : CategoryTheory.MorphismProperty C} {X Y : C}
{f : X ⟶ Y} (self : W₁.MapFactorizationData W₂ f), W₂ self.p- Cited by
- 7 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- 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
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.MapFactorizationDatastatement and proof · cited by 63
- CategoryTheory.MorphismProperty.MapFactorizationData.Zstatement · cited by 63
- CategoryTheory.MorphismProperty.MapFactorizationData.pstatement · cited by 36
Cited by8
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.ReedyStructure.exists_facproof · cited by 5
- CategoryTheory.Sheaf.isLocallySurjective_iff_epi'proof · cited by 5
- CategoryTheory.MorphismProperty.MapFactorizationData.opproof · cited by 4
- HomotopicalAlgebra.PathObject.RightHomotopy.exists_good_pathObjectproof · cited by 1
- HomotopicalAlgebra.ModelCategory.hasLiftingProperty_of_joyalTrickproof · cited by 0
- HomotopicalAlgebra.ModelCategory.hasLiftingProperty_of_joyalTrickDualproof · cited by 0