Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Cat.FreeRefl.quotientFunctor_map_nil

∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V] (x : CategoryTheory.Paths V),
  (CategoryTheory.Cat.FreeRefl.quotientFunctor V).map Quiver.Path.nil =
    CategoryTheory.CategoryStruct.id ((CategoryTheory.Cat.FreeRefl.quotientFunctor V).obj x)
Defined in
Mathlib.CategoryTheory.Category.ReflQuiv
Cited by
0 results in Mathlib
Foundations
Depth 20 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.

Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Functor.map_id · cited by 616Functor.map_idCategoryTheory.Paths · cited by 82CategoryTheory.PathsCategoryTheory.ReflQuiver · cited by 64CategoryTheory.ReflQuiverCategoryTheory.Cat.FreeRefl · cited by 34Cat.FreeReflCategoryTheory.Cat.FreeRefl.quotientFunctor · cited by 8FreeRefl.quotientFunctorFreeRefl.quotientFunctor_map_…CITED BYCITES

Cites9

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.