Theorems · Definition · category theory
CategoryTheory.MorphismProperty.MapFactorizationData.unop
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
{W₁ W₂ : CategoryTheory.MorphismProperty Cᵒᵖ} →
{X Y : Cᵒᵖ} → {f : X ⟶ Y} → W₁.MapFactorizationData W₂ f → W₂.unop.MapFactorizationData W₁.unop f.unopThe factorization obtained from a factorization in the opposite category.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
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.Homstatement and proof · cited by 32,603
- Oppositestatement and proof · cited by 8,081
- Opposite.unopstatement and proof · cited by 2,231
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- Quiver.Hom.unopstatement and proof · cited by 903
- CategoryTheory.MorphismProperty.MapFactorizationDatastatement and proof · cited by 63
- CategoryTheory.MorphismProperty.MapFactorizationData.Zproof · cited by 63
- CategoryTheory.MorphismProperty.MapFactorizationData.pproof · cited by 36
- CategoryTheory.MorphismProperty.MapFactorizationData.iproof · cited by 36
- CategoryTheory.MorphismProperty.unopstatement · cited by 22
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.MapFactorizationData.opEquivproof · cited by 2
- CategoryTheory.MorphismProperty.MapFactorizationData.opEquiv_symm_applystatement · cited by 0
- CategoryTheory.MorphismProperty.MapFactorizationData.unop_Zstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.MapFactorizationData.unop_istatement and proof · cited by 0
- CategoryTheory.MorphismProperty.MapFactorizationData.unop_pstatement and proof · cited by 0