Theorems · Definition · Lie groups
ProfiniteGrp.ContinuousMulEquiv.toProfiniteGrpIso
{X Y : ProfiniteGrp.{u_1}} → ↑X.toProfinite.toTop ≃ₜ* ↑Y.toProfinite.toTop → (X ≅ Y)Build an isomorphism in the category ProfiniteGrp from
a ContinuousMulEquiv between ProfiniteGrps.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- ContinuousMulEquivstatement and proof · cited by 65
- ProfiniteGrp.toProfinitestatement and proof · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- ContinuousMulEquiv.symmproof · cited by 27
- ContinuousMonoidHom.toContinuousMonoidHomproof · cited by 6
- ProfiniteGrp.ofHomproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- ProfiniteGrp.isoLimittoFiniteQuotientFunctorproof · cited by 3
- InfiniteGalois.profiniteGalGrpIsoLimitproof · cited by 0