Theorems · Theorem · Lie groups

ProfiniteGrp.coe_of

∀ (G : Type u) [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G] [inst_3 : CompactSpace G]
  [inst_4 : TotallyDisconnectedSpace G], ↑(ProfiniteGrp.of G).toProfinite.toTop = G

Defined in: Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group TopologicalSpace IsTopologicalGroup CompactSpace TotallyDisconnectedSpace

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

TopologicalSpacestatement and proof · cited by 24,529
Groupstatement and proof · cited by 6,238
TopCat.carrierstatement · cited by 3,184
TopCatstatement · cited by 1,889
CompactSpacestatement and proof · cited by 593
IsTopologicalGroupstatement and proof · cited by 469
TotallyDisconnectedSpacestatement and proof · cited by 295
CompHausLike.toTopstatement · cited by 258
ProfiniteGrp.toProfinitestatement · cited by 51
ProfiniteGrp.ofstatement · cited by 8

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