Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Cat.FreeRefl.homMk_id

∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V] (v : V),
  CategoryTheory.Cat.FreeRefl.homMk (CategoryTheory.ReflQuiver.id v) =
    CategoryTheory.CategoryStruct.id (CategoryTheory.Cat.FreeRefl.mk v)
Defined in
Mathlib.CategoryTheory.Category.ReflQuiv
Cited by
2 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.ReflQuiver
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Cat.FreeRefl.hom_induction · cited by 1FreeRefl.hom_inductionSSet.Truncated.HomotopyCategory.homMk_id · cited by 0HomotopyCategory.homMk_idQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.ReflQuiver · cited by 64CategoryTheory.ReflQuiverCategoryTheory.Cat.FreeRefl · cited by 34Cat.FreeReflCategoryTheory.ReflQuiver.id · cited by 18ReflQuiver.idCategoryTheory.Cat.FreeRefl.mk · cited by 17FreeRefl.mkCategoryTheory.Quotient.sound · cited by 16Quotient.soundCategoryTheory.Cat.FreeRefl.homMk · cited by 13FreeRefl.homMkCategoryTheory.Cat.FreeReflRel · cited by 4Cat.FreeReflRelFreeRefl.homMk_idCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.