Mathlib Map

Theorems · Theorem · Lie groups

IsRightUniformAddGroup.completeSpace_of_weaklyLocallyCompactSpace

∀ {G : Type u_3} [inst : AddGroup G] [inst_1 : UniformSpace G] [IsRightUniformAddGroup G] [WeaklyLocallyCompactSpace G],
  CompleteSpace G

A locally compact right-uniform additive group is complete.

Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Basic
Cited by
0 results in Mathlib
Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupUniformSpaceIsRightUniformAddGroupWeaklyLocallyCompactSpace

Around this declaration

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

Cites29

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.