Theorems · Definition · category theory
CategoryTheory.WithInitial.prelaxfunctor
CategoryTheory.PrelaxFunctor CategoryTheory.Cat CategoryTheory.Cat
The prelax functor from Cat to Cat defined with WithInitial.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Catstatement and proof · cited by 884
- CategoryTheory.Bundled.αproof · cited by 736
- CategoryTheory.Cat.Hom.toFunctorproof · cited by 531
- CategoryTheory.Cat.Hom₂.toNatTransproof · cited by 277
- CategoryTheory.Cat.ofproof · cited by 189
- CategoryTheory.WithInitialproof · cited by 144
- CategoryTheory.Functor.toCatHomproof · cited by 124
- CategoryTheory.PrelaxFunctorstatement · cited by 48
- CategoryTheory.NatTrans.toCatHom₂proof · cited by 18
- CategoryTheory.WithInitial.mapproof · cited by 11
- CategoryTheory.WithInitial.map₂proof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.WithInitial.pseudofunctorproof · cited by 3
- CategoryTheory.WithInitial.prelaxfunctor_toPrelaxFunctorStruct_map₂statement and proof · cited by 0
- CategoryTheory.WithInitial.prelaxfunctor_toPrelaxFunctorStruct_toPrefunctor_mapstatement and proof · cited by 0
- CategoryTheory.WithInitial.prelaxfunctor_toPrelaxFunctorStruct_toPrefunctor_objstatement and proof · cited by 0
- CategoryTheory.WithInitial.pseudofunctor_mapCompstatement · cited by 0
- CategoryTheory.WithInitial.pseudofunctor_mapIdstatement · cited by 0
- CategoryTheory.WithInitial.pseudofunctor_toPrelaxFunctorstatement · cited by 0