Theorems · Definition · Lie groups
ProfiniteGrp.isoLimittoFiniteQuotientFunctor
(P : ProfiniteGrp.{u}) → P ≅ ProfiniteGrp.limit P.diagramThe isomorphism in the category of profinite group between a profinite group and the projective limit of its quotients by open normal subgroups
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 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.Isostatement · cited by 3,963
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- ProfiniteGrp.toProfinitestatement · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- OpenNormalSubgroupstatement · cited by 27
- ProfiniteGrp.limitstatement · cited by 23
- ProfiniteGrp.diagramstatement · cited by 10
- ProfiniteGrp.continuousMulEquivLimittoFiniteQuotientFunctorproof · cited by 0
- ProfiniteGrp.ContinuousMulEquiv.toProfiniteGrpIsoproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- ProfiniteGrp.ProfiniteCompletion.lift_etaproof · cited by 1
- Ideal.Quotient.stabilizerHom_surjective_of_profiniteproof · cited by 0
- Algebra.IsInvariant.exists_smul_of_under_eq_of_profiniteproof · cited by 0
- ProfiniteGrp.isLimitConeproof · cited by 0