Theorems · Theorem · category theory
CategoryTheory.ReflQuiv.adj.unit.map_app_eq
∀ (V : Type u) [inst : CategoryTheory.ReflQuiver V],
(CategoryTheory.ReflQuiv.adj.unit.app (CategoryTheory.ReflQuiv.of V)).toPrefunctor =
CategoryTheory.Quiv.adj.unit.app (CategoryTheory.Quiv.of V) ⋙q
(CategoryTheory.Cat.FreeRefl.quotientFunctor V).toPrefunctor- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.ReflQuiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Bundled.αstatement · cited by 736
- Quiverstatement · cited by 405
- CategoryTheory.Adjunction.unitstatement · cited by 387
- Prefunctorstatement · cited by 116
- CategoryTheory.Pathsstatement · cited by 82
- CategoryTheory.ReflQuiverstatement and proof · cited by 64
- CategoryTheory.ReflPrefunctor.toPrefunctorstatement · cited by 36
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.