Theorems · Definition · general topology
FintypeCat.toLightProfinite
CategoryTheory.Functor FintypeCat LightProfinite
The natural functor from Fintype to LightProfinite, endowing a finite type with the
discrete topology.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- SecondCountableTopologystatement and proof · cited by 750
- TotallyDisconnectedSpacestatement and proof · cited by 295
- FintypeCatstatement and proof · cited by 217
- LightProfinitestatement · cited by 90
Cited by44
Results whose statement or proof uses this declaration.
- LightProfinite.diagramproof · cited by 13
- LightCondensed.finYonedaproof · cited by 5
- LightProfinite.Extend.coconestatement and proof · cited by 5
- LightProfinite.Extend.functorstatement and proof · cited by 5
- LightCondensed.isoFinYonedastatement and proof · cited by 4
- LightCondensed.lanPresheafproof · cited by 4
- LightProfinite.Extend.functorOpstatement and proof · cited by 4
- LightCondensed.lanPresheafExtstatement and proof · cited by 3
- LightCondensed.isoLocallyConstantOfIsColimitstatement and proof · cited by 2
- LightCondensed.isColimitLocallyConstantPresheafstatement and proof · cited by 1
- LightCondensed.lanPresheafExt_invstatement and proof · cited by 1
- LightCondensed.lanPresheafIsoproof · cited by 1