Theorems · Theorem · Lie groups
ProfiniteGrp.ProfiniteCompletion.preimage_le
∀ {G : GrpCat} {P : ProfiniteGrp.{u}} {f : G ⟶ GrpCat.of ↑P.toProfinite.toTop}
{H K : OpenNormalSubgroup ↑P.toProfinite.toTop},
H ≤ K → ProfiniteGrp.ProfiniteCompletion.preimage f H ≤ ProfiniteGrp.ProfiniteCompletion.preimage f K- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierstatement · cited by 125
- ProfiniteGrp.toProfinitestatement and proof · cited by 51
- GrpCat.Hom.homproof · cited by 47
- ProfiniteGrpstatement and proof · cited by 47
- GrpCat.ofstatement and proof · cited by 32
- OpenNormalSubgroupstatement and proof · cited by 27
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