Theorems · Definition · Lie groups
ProfiniteGrp.toFiniteQuotientFunctor
(P : ProfiniteGrp.{u_1}) → CategoryTheory.Functor (OpenNormalSubgroup ↑P.toProfinite.toTop) FiniteGrp.{u_1}The functor from OpenNormalSubgroup P to FiniteGrp sending U to P ⧸ U,
where P : ProfiniteGrp.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- HasQuotient.Quotientproof · cited by 2,301
- TopCatstatement · cited by 1,889
- MonoidHom.idproof · cited by 323
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- ProfiniteGrp.toProfinitestatement and proof · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- OpenSubgroup.toSubgroupproof · cited by 34
- OpenNormalSubgroupstatement and proof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- ProfiniteGrp.diagramproof · cited by 10
- ProfiniteGrp.denseRange_toLimitproof · cited by 1
- ProfiniteGrp.diagram_mapstatement · cited by 0
- ProfiniteGrp.diagram_objstatement · cited by 0