Theorems · Definition · Lie groups
ProfiniteGrp.ofProfinite
(G : Profinite) → [inst : Group ↑G.toTop] → [IsTopologicalGroup ↑G.toTop] → ProfiniteGrp.{u_1}Construct a term of ProfiniteGrp from a type endowed with the structure of a
profinite topological group.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupIsTopologicalGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- IsTopologicalGroupstatement and proof · cited by 469
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- Profinitestatement and proof · cited by 75
- ProfiniteGrpstatement · cited by 47
- ProfiniteGrp.ofproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- ProfiniteGrp.ProfiniteCompletion.lift_etaproof · cited by 1
- ProfiniteGrp.limitConeproof · cited by 0
- ProfiniteGrp.piproof · cited by 0