Theorems · Definition · category theory
CategoryTheory.FreeBicategory.lift
{B : Type u₁} →
[inst : Quiver B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] → B ⥤q C → CategoryTheory.Pseudofunctor (CategoryTheory.FreeBicategory B) CA prefunctor from a quiver B to a bicategory C can be lifted to a pseudofunctor from
free_bicategory B to C.
- Defined in
- Mathlib.CategoryTheory.Bicategory.Free
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objproof · cited by 1,241
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Pseudofunctorstatement · cited by 571
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.FreeBicategorystatement and proof · cited by 51
- CategoryTheory.FreeBicategory.Hom₂proof · cited by 33
- CategoryTheory.FreeBicategory.Relproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.FreeBicategory.lift_mapCompstatement and proof · cited by 0
- CategoryTheory.FreeBicategory.lift_mapIdstatement and proof · cited by 0
- CategoryTheory.FreeBicategory.lift_toPrelaxFunctor_toPrelaxFunctorStruct_map₂statement and proof · cited by 0
- CategoryTheory.FreeBicategory.lift_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_mapstatement and proof · cited by 0
- CategoryTheory.FreeBicategory.lift_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_objstatement and proof · cited by 0