Theorems · Definition · general topology
FintypeCat.toProfinite
CategoryTheory.Functor FintypeCat Profinite
The natural functor from Fintype to Profinite, endowing a finite type with the
discrete topology.
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- Finitestatement · cited by 3,029
- TopCatstatement and proof · cited by 1,889
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- TotallyDisconnectedSpacestatement and proof · cited by 295
- FintypeCatstatement and proof · cited by 217
- Profinitestatement · cited by 75
- Profinite.ofproof · cited by 11
Cited by67
Results whose statement or proof uses this declaration.
- Profinite.diagramproof · cited by 8
- Condensed.finYonedaproof · cited by 6
- Profinite.Extend.coconestatement and proof · cited by 5
- Profinite.Extend.functorstatement and proof · cited by 5
- Profinite.Extend.functorOpstatement and proof · cited by 4
- Condensed.isoFinYonedastatement and proof · cited by 4
- Condensed.lanPresheafproof · cited by 4
- Condensed.lanPresheafExtstatement and proof · cited by 3
- LightDiagram.conestatement · cited by 3
- Profinite.Extend.conestatement and proof · cited by 2
- Profinite.Extend.functor_initialstatement and proof · cited by 2
- Condensed.isoLocallyConstantOfIsColimitstatement and proof · cited by 2