Theorems · Definition · Lie groups
ProfiniteAddGrp.ContinuousMulEquiv.toProfiniteAddGrpIso
{X Y : ProfiniteAddGrp.{u_1}} → ↑X.toProfinite.toTop ≃ₜ+ ↑Y.toProfinite.toTop → (X ≅ Y)Build an isomorphism in the category ProfiniteAddGrp from
a ContinuousAddEquiv between ProfiniteAddGrps.
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- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- ContinuousAddEquivstatement and proof · cited by 61
- ProfiniteAddGrp.toProfinitestatement and proof · cited by 31
- ProfiniteAddGrpstatement and proof · cited by 30
- ContinuousAddEquiv.symmproof · cited by 25
- ContinuousAddMonoidHom.toContinuousAddMonoidHomproof · cited by 14
- ProfiniteAddGrp.ofHomproof · cited by 5
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