Theorems · Theorem · category theory
CategoryTheory.Cat.freeMap_id
∀ (V : Type u_1) [inst : Quiver V], CategoryTheory.Cat.freeMap (𝟭q V) = CategoryTheory.Functor.id (CategoryTheory.Paths V)
- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.idstatement · cited by 3,333
- Quiverstatement and proof · cited by 405
- CategoryTheory.Pathsstatement and proof · cited by 82
- CategoryTheory.Functor.ext_of_isoproof · cited by 28
- Prefunctor.idstatement · cited by 14
- CategoryTheory.Cat.freeMapstatement · cited by 13
- CategoryTheory.Cat.freeMapIdIsoproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.