Theorems · Definition · Lie groups
ProfiniteGrp.toLimit
(P : ProfiniteGrp.{u}) → P ⟶ ProfiniteGrp.limit P.diagramThe morphism in the category of ProfiniteGrp from a profinite group P to
the projective limit of its quotients by open normal subgroups ordered by inclusion
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- MonoidHomproof · cited by 3,629
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- ProfiniteGrp.toProfinitestatement and proof · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- OpenNormalSubgroupstatement · cited by 27
- ProfiniteGrp.limitstatement and proof · cited by 23
- ProfiniteGrp.diagramstatement and proof · cited by 10
- ProfiniteGrp.ofHomproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- ProfiniteGrp.denseRange_toLimitstatement and proof · cited by 1
- ProfiniteGrp.toLimit_injectivestatement and proof · cited by 0
- ProfiniteGrp.toLimit_surjectivestatement and proof · cited by 0