Theorems · Definition · Lie groups
ProfiniteGrp.ProfiniteCompletion.eta
(G : GrpCat) → G ⟶ GrpCat.of ↑(ProfiniteGrp.ProfiniteCompletion.completion G).toProfinite.toTop
The canonical morphism from G to its profinite completion.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- GrpCatstatement and proof · cited by 146
- ProfiniteGrp.toProfinitestatement · cited by 51
- GrpCat.ofstatement · cited by 32
- GrpCat.ofHomproof · cited by 23
- ProfiniteGrp.ProfiniteCompletion.completionstatement · cited by 8
- ProfiniteGrp.ProfiniteCompletion.etaFnproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- ProfiniteGrp.profiniteCompletionproof · cited by 2
- ProfiniteGrp.ProfiniteCompletion.lift_etastatement and proof · cited by 1
- ProfiniteGrp.ProfiniteCompletion.mono_eta_iff_residuallyFinitestatement and proof · cited by 1
- ProfiniteGrp.profiniteCompletion_mapstatement · cited by 0
- ProfiniteGrp.ProfiniteCompletion.etaFn_injective_iff_residuallyFiniteproof · cited by 0
- ProfiniteGrp.ProfiniteCompletion.homEquivproof · cited by 0
- ProfiniteGrp.ProfiniteCompletion.lift_eta_assocstatement and proof · cited by 0
- ProfiniteGrp.ProfiniteCompletion.lift_uniquestatement and proof · cited by 0