Theorems · Definition · Lie groups
ProfiniteAddGrp.toLimitFun
(P : ProfiniteAddGrp.{u}) → ↑P.toProfinite.toTop →+ ↑(ProfiniteAddGrp.limit P.diagram).toProfinite.toTopThe AddMonoidHom from a profinite additive group P to the projective limit of
its quotients by open normal subgroups ordered by inclusion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- AddMonoidHomstatement · cited by 3,230
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- QuotientAddGroup.mkproof · cited by 348
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- ProfiniteAddGrp.toProfinitestatement and proof · cited by 31
- ProfiniteAddGrpstatement and proof · cited by 30
- OpenNormalAddSubgroupstatement and proof · cited by 20
- ProfiniteAddGrp.diagramstatement · cited by 6
- ProfiniteAddGrp.limitstatement · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- ProfiniteAddGrp.toLimitproof · cited by 1
- ProfiniteAddGrp.toLimitFun_continuousstatement · cited by 0