Theorems · Definition · category theory
Prefunctor.map
{V : Type u₁} →
[inst : Quiver V] →
{W : Type u₂} → [inst_1 : Quiver W] → (self : V ⥤q W) → {X Y : V} → (X ⟶ Y) → (self.obj X ⟶ self.obj Y)The action of a (pre)functor on edges/arrows/morphisms.
- Defined in
- Mathlib.Combinatorics.Quiver.Prefunctor
- Cited by
- 952 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Prefunctor.objstatement · cited by 1,241
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
Cited by1,253
Results whose statement or proof uses this declaration.
- CategoryTheory.PrelaxFunctorStruct.map₂statement · cited by 303
- CategoryTheory.Pseudofunctor.mapCompstatement · cited by 177
- CategoryTheory.Pseudofunctor.mapIdstatement · cited by 175
- CategoryTheory.Pseudofunctor.mapComp'statement · cited by 87
- CategoryTheory.Pseudofunctor.StrongTrans.naturalitystatement · cited by 81
- CategoryTheory.LaxFunctor.mapCompstatement · cited by 77
- CategoryTheory.OplaxFunctor.mapCompstatement · cited by 73
- CategoryTheory.LaxFunctor.mapIdstatement · cited by 61
- CategoryTheory.OplaxFunctor.mapIdstatement · cited by 52
- CategoryTheory.Oplax.StrongTrans.naturalitystatement · cited by 46
- CategoryTheory.Oplax.OplaxTrans.naturalitystatement · cited by 38
- Prefunctor.compproof · cited by 35
Showing the 200 most cited of 1,253.