Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.Over.mk_hom
∀ {T : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} T] {P : CategoryTheory.MorphismProperty T}
(Q : CategoryTheory.MorphismProperty T) {X A : T} (f : A ⟶ X) (hf : P f),
(CategoryTheory.MorphismProperty.Over.mk Q f hf).hom = f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites10
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.Functor.idstatement · cited by 3,333
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.Comma.homstatement and proof · cited by 490
- CategoryTheory.MorphismProperty.Comma.toCommastatement and proof · cited by 260
- CategoryTheory.MorphismProperty.Over.mkstatement and proof · cited by 12
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