Theorems · Definition · category theory
Profinite.fintypeDiagram
(X : Profinite) → CategoryTheory.Functor (DiscreteQuotient ↑X.toTop) FintypeCat
The functor DiscreteQuotient X ⥤ Fintype whose limit is isomorphic to X.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 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.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- TopCat.carrierstatement and proof · cited by 3,184
- Finitestatement · cited by 3,029
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- FintypeCatstatement · cited by 217
- Profinitestatement and proof · cited by 75
- DiscreteQuotientstatement and proof · cited by 65
- DiscreteQuotient.toSetoidproof · cited by 45
- FintypeCat.ofproof · cited by 26
Cited by3
Results whose statement or proof uses this declaration.
- Profinite.diagramproof · cited by 8
- LightProfinite.toLightDiagramproof · cited by 3
- Condensed.isColimitLocallyConstantPresheafDiagram_desc_applystatement · cited by 0