Theorems · Definition · Lie groups
ProfiniteGrp.diagram
(P : ProfiniteGrp.{u}) → CategoryTheory.Functor (OpenNormalSubgroup ↑P.toProfinite.toTop) ProfiniteGrp.{u}The diagram of finite quotients of P viewed in ProfiniteGrp.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 98 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.
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.forget₂proof · cited by 260
- CompHausLike.toTopstatement · cited by 258
- ProfiniteGrp.toProfinitestatement · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- OpenNormalSubgroupstatement · cited by 27
- FiniteGrpproof · cited by 11
- ProfiniteGrp.toFiniteQuotientFunctorproof · cited by 3
Cited by17
Results whose statement or proof uses this declaration.
- ProfiniteGrp.toLimitstatement and proof · cited by 3
- ProfiniteGrp.isoLimittoFiniteQuotientFunctorstatement · cited by 3
- ProfiniteGrp.conestatement · cited by 2
- ProfiniteGrp.projstatement · cited by 1
- ProfiniteGrp.denseRange_toLimitstatement and proof · cited by 1
- ProfiniteGrp.toLimitFunstatement · cited by 1
- ProfiniteGrp.ProfiniteCompletion.lift_etaproof · cited by 1
- ProfiniteGrp.cone_ptstatement · cited by 0
- ProfiniteGrp.cone_π_appstatement · cited by 0
- ProfiniteGrp.continuousMulEquivLimittoFiniteQuotientFunctorstatement and proof · cited by 0
- ProfiniteGrp.diagram_mapstatement and proof · cited by 0
- ProfiniteGrp.diagram_objstatement and proof · cited by 0