Theorems · Definition · category theory

CategoryTheory.Cat.FreeRefl.homMk

{V : Type u_1} →
  [inst : CategoryTheory.ReflQuiver V] →
    {v w : V} → (v ⟶ w) → (CategoryTheory.Cat.FreeRefl.mk v ⟶ CategoryTheory.Cat.FreeRefl.mk w)

Constructor for morphisms in FreeRefl.

Defined in: Mathlib.CategoryTheory.Category.ReflQuiv
Cited by: 13 results in Mathlib
Foundations: Depth 20 from the axioms · uses propext, Quot.sound
Assumes: CategoryTheory.ReflQuiver

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Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites7

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.Functor.mapproof · cited by 8,698
CategoryTheory.ReflQuiverstatement and proof · cited by 64
Quiver.Hom.toPathproof · cited by 38
CategoryTheory.Cat.FreeReflstatement · cited by 34
CategoryTheory.Cat.FreeRefl.mkstatement · cited by 17
CategoryTheory.Cat.FreeRefl.quotientFunctorproof · cited by 8

Cited by17

Results whose statement or proof uses this declaration.

SSet.Truncated.HomotopyCategory.homMkproof · cited by 24
CategoryTheory.Cat.toFreeReflproof · cited by 5
CategoryTheory.Cat.FreeRefl.morphismPropertyHomMkproof · cited by 5
CategoryTheory.Cat.freeReflMapproof · cited by 5
CategoryTheory.Cat.FreeRefl.lift_mapstatement · cited by 4
CategoryTheory.Cat.FreeRefl.homMk_idstatement · cited by 2
CategoryTheory.Cat.FreeRefl.multiplicativeClosure_morphismPropertyHomMkproof · cited by 2
CategoryTheory.Cat.FreeRefl.functor_extstatement and proof · cited by 1
CategoryTheory.Cat.FreeRefl.hom_inductionstatement and proof · cited by 1
CategoryTheory.Cat.FreeRefl.morphismPropertyHomMk_homMkstatement and proof · cited by 1
SSet.Truncated.HomotopyCategory.morphismPropertyHomMk_eq_strictMapproof · cited by 1
SSet.Truncated.HomotopyCategory.homMk_idproof · cited by 0