Theorems · Inductive type · category theory
Prefunctor
(V : Type u₁) → [Quiver V] → (W : Type u₂) → [Quiver W] → Type (max (max (max u₁ u₂) v₁) v₂)
A morphism of quivers. As we will later have categorical functors extend this structure,
we call it a Prefunctor.
- Defined in
- Mathlib.Combinatorics.Quiver.Prefunctor
- Cited by
- 116 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiverstatement · cited by 405
Cited by178
Results whose statement or proof uses this declaration.
- Prefunctor.objstatement and proof · cited by 1,241
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorstatement · cited by 1,142
- Prefunctor.mapstatement and proof · cited by 952
- CategoryTheory.ReflPrefunctor.toPrefunctorstatement · cited by 36
- Prefunctor.compstatement and proof · cited by 35
- CategoryTheory.Functor.toPrefunctorstatement · cited by 24
- CategoryTheory.FreeGroupoid.ofproof · cited by 21
- CategoryTheory.Paths.ofstatement · cited by 20
- Prefunctor.starstatement and proof · cited by 18
- Prefunctor.mapPathstatement and proof · cited by 15
- Prefunctor.costarstatement and proof · cited by 14
- Prefunctor.idstatement · cited by 14