Theorems · Definition · Lie groups
ProfiniteGrp.ProfiniteCompletion.lift
{G : GrpCat} →
{P : ProfiniteGrp.{u}} → (G ⟶ GrpCat.of ↑P.toProfinite.toTop) → (ProfiniteGrp.ProfiniteCompletion.completion G ⟶ P)The universal morphism from the profinite completion to P.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.NatTrans.appproof · cited by 7,406
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.Limits.Cone.πproof · cited by 500
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- CategoryTheory.Limits.IsLimit.liftproof · cited by 167
- GrpCatstatement and proof · cited by 146
- ProfiniteGrp.toProfinitestatement and proof · cited by 51
Cited by5
Results whose statement or proof uses this declaration.
- ProfiniteGrp.profiniteCompletionproof · cited by 2
- ProfiniteGrp.ProfiniteCompletion.lift_etastatement and proof · cited by 1
- ProfiniteGrp.profiniteCompletion_mapstatement · cited by 0
- ProfiniteGrp.ProfiniteCompletion.homEquivproof · cited by 0
- ProfiniteGrp.ProfiniteCompletion.lift_eta_assocstatement and proof · cited by 0