Theorems · Theorem · category theory
CategoryTheory.Cat.FreeRefl.morphismPropertyHomMk_homMk
∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V] {x y : V} (e : x ⟶ y),
CategoryTheory.Cat.FreeRefl.morphismPropertyHomMk V (CategoryTheory.Cat.FreeRefl.homMk e)- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.ReflQuiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ReflQuiverstatement and proof · cited by 64
- CategoryTheory.Cat.FreeRefl.mkstatement · cited by 17
- CategoryTheory.Cat.FreeRefl.homMkstatement and proof · cited by 13
- CategoryTheory.MorphismProperty.ofHoms_iffproof · cited by 8
- CategoryTheory.Cat.FreeRefl.morphismPropertyHomMkstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Cat.FreeRefl.multiplicativeClosure_morphismPropertyHomMkproof · cited by 2