Theorems · Definition · category theory
CategoryTheory.PrelaxFunctorStruct.toPrefunctor
{B : Type u₁} →
[inst : Quiver B] →
[inst_1 : (a b : B) → Quiver (a ⟶ b)] →
{C : Type u₂} →
[inst_2 : Quiver C] → [inst_3 : (a b : C) → Quiver (a ⟶ b)] → CategoryTheory.PrelaxFunctorStruct B C → B ⥤q CThe prefunctor between the underlying quivers.
- Cited by
- 1,142 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 and proof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Prefunctorstatement · cited by 116
- CategoryTheory.PrelaxFunctorStructstatement and proof · cited by 11
Cited by1,473
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.StrongTrans.appstatement · cited by 106
- CategoryTheory.Pseudofunctor.mapComp'statement · cited by 87
- CategoryTheory.Pseudofunctor.StrongTrans.naturalitystatement · cited by 81
- CategoryTheory.LaxFunctor.mapCompstatement · cited by 77
- CategoryTheory.Oplax.OplaxTrans.appstatement · cited by 76
- CategoryTheory.OplaxFunctor.mapCompstatement · cited by 73
- CategoryTheory.Lax.LaxTrans.appstatement · cited by 61
- CategoryTheory.LaxFunctor.mapIdstatement · cited by 61
- CategoryTheory.Oplax.StrongTrans.appstatement · cited by 60
Showing the 200 most cited of 1,473.