Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.MapFactorizationData.op_i
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (W₁ W₂ : CategoryTheory.MorphismProperty C) {X Y : C}
{f : X ⟶ Y} (hf : W₁.MapFactorizationData W₂ f),
(CategoryTheory.MorphismProperty.MapFactorizationData.op W₁ W₂ hf).i = hf.p.op- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
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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 · cited by 8,081
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.MorphismProperty.opstatement · cited by 71
- CategoryTheory.MorphismProperty.MapFactorizationDatastatement and proof · cited by 63
- CategoryTheory.MorphismProperty.MapFactorizationData.Zstatement · cited by 63
- CategoryTheory.MorphismProperty.MapFactorizationData.pstatement · cited by 36
- CategoryTheory.MorphismProperty.MapFactorizationData.istatement and proof · cited by 36
- CategoryTheory.MorphismProperty.MapFactorizationData.opstatement and proof · cited by 4
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