Mathlib Map

Theorems · Definition · Lie groups

ProfiniteGrp.ProfiniteCompletion.completion

GrpCat → ProfiniteGrp.{u}

The profinite completion of G as a projective limit.

Defined in
Mathlib.Topology.Algebra.Category.ProfiniteGrp.Completion
Cited by
8 results in Mathlib
Foundations
Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProfiniteGrp.ProfiniteCompletion.eta · cited by 6ProfiniteCompletion.etaProfiniteGrp.ProfiniteCompletion.lift · cited by 3ProfiniteCompletion.liftProfiniteGrp.ProfiniteCompletion.etaFn · cited by 2ProfiniteCompletion.etaFnProfiniteGrp.profiniteCompletion · cited by 2ProfiniteGrp.profiniteCom…ProfiniteGrp.ProfiniteCompletion.denseRange · cited by 1ProfiniteCompletion.dense…ProfiniteGrp.ProfiniteCompletion.lift_eta · cited by 1ProfiniteCompletion.lift_…ProfiniteGrp.ProfiniteCompletion.mono_eta_iff_residuallyFinite · cited by 1ProfiniteCompletion.mono_…ProfiniteGrp.profiniteCompletion_map · cited by 0ProfiniteGrp.profiniteCom…ProfiniteGrp.profiniteCompletion_obj · cited by 0ProfiniteGrp.profiniteCom…ProfiniteGrp.ProfiniteCompletion.etaFn_injective_iff_residuallyFinite · cited by 0ProfiniteCompletion.etaFn…ProfiniteGrp.ProfiniteCompletion.homEquiv · cited by 0ProfiniteCompletion.homEq…ProfiniteGrp.ProfiniteCompletion.lift_eta_assoc · cited by 0ProfiniteCompletion.lift_…ProfiniteGrp.ProfiniteCompletion.lift_unique · cited by 0ProfiniteCompletion.lift_…GrpCat · cited by 146GrpCatProfiniteGrp · cited by 47ProfiniteGrpProfiniteGrp.limit · cited by 23ProfiniteGrp.limitProfiniteGrp.ProfiniteCompletion.diagram · cited by 2ProfiniteCompletion.diagr…ProfiniteCompletion.completionCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.