Theorems · Definition · category theory
CategoryTheory.Pseudofunctor.toLax
{B : Type u₁} →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Bicategory C] → CategoryTheory.Pseudofunctor B C → CategoryTheory.LaxFunctor B CThe lax functor associated with a pseudofunctor.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Iso.invproof · cited by 6,514
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Pseudofunctor.toPrelaxFunctorproof · cited by 640
- CategoryTheory.Pseudofunctorstatement and proof · cited by 571
- CategoryTheory.LaxFunctorstatement · cited by 201
- CategoryTheory.Pseudofunctor.mapCompproof · cited by 177
- CategoryTheory.Pseudofunctor.mapIdproof · cited by 175
- CategoryTheory.PrelaxFunctorproof · cited by 48
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.StrictlyUnitaryPseudofunctor.toStrictlyUnitaryLaxFunctorproof · cited by 5
- CategoryTheory.Pseudofunctor.mapComp_assoc_left_invproof · cited by 2
- CategoryTheory.Pseudofunctor.mapComp_assoc_right_invproof · cited by 2
- CategoryTheory.Pseudofunctor.toLax_mapCompstatement and proof · cited by 0
- CategoryTheory.Pseudofunctor.toLax_mapComp'statement · cited by 0
- CategoryTheory.Pseudofunctor.toLax_mapIdstatement and proof · cited by 0
- CategoryTheory.Pseudofunctor.toLax_mapId'statement · cited by 0
- CategoryTheory.Pseudofunctor.toLax_toPrelaxFunctorstatement and proof · cited by 0