Theorems · Definition · Lie groups
ProfiniteGrp.continuousMulEquivLimittoFiniteQuotientFunctor
(P : ProfiniteGrp.{u}) → ↑P.toProfinite.toTop ≃ₜ* ↑(ProfiniteGrp.limit P.diagram).toProfinite.toTopThe topological group isomorphism between a profinite group and the projective limit of its quotients by open normal subgroups
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- Subgroupstatement · cited by 3,593
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- Homeomorphproof · cited by 725
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- Homeomorph.toEquivproof · cited by 77
- ContinuousMulEquivstatement · cited by 65
- ProfiniteGrp.toProfinitestatement and proof · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- OpenNormalSubgroupstatement · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- ProfiniteGrp.isoLimittoFiniteQuotientFunctorproof · cited by 3