Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.Over.w
∀ {T : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} T] {P Q : CategoryTheory.MorphismProperty T} {X : T}
[inst_1 : Q.IsMultiplicative] {A B : P.Over Q X} (f : A ⟶ B), CategoryTheory.CategoryStruct.comp f.left B.hom = A.hom- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- Top.topstatement · cited by 9,680
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Comma.leftstatement · cited by 886
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.Comma.rightstatement · cited by 727
- CategoryTheory.CommaMorphism.leftstatement · cited by 526
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.isPullbackproof · cited by 0
- CategoryTheory.MorphismProperty.Over.w_assocproof · cited by 0