Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.Over.Hom.ext
∀ {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 g : A ⟶ B}, f.left = g.left → f = g- Cited by
- 5 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.
Cites18
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
- Top.topstatement · cited by 9,680
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- 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.rightproof · cited by 727
- CategoryTheory.CommaMorphism.leftstatement and proof · cited by 526
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.Over.map_compproof · cited by 0
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.isPullbackproof · cited by 0
- CategoryTheory.MorphismProperty.Over.Hom.ext_iffproof · cited by 0
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.transitionMap_compproof · cited by 0
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.transitionMap_idproof · cited by 0