Mathlib Map

Theorems · Theorem · Lie groups

IsUniformAddGroup.uniformity_countably_generated

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α] [(nhds 0).IsCountablyGenerated],
  (uniformity α).IsCountablyGenerated
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceAddGroupIsUniformAddGroupFilter.IsCountablyGenerated
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsAdic.isPrecomplete_iff · cited by 2IsAdic.isPrecomplete_iffWithSeminorms.firstCountableTopology · cited by 0WithSeminorms.firstCounta…Filter · cited by 8121Filternhds · cited by 5554nhdsAddGroup · cited by 4410AddGroupUniformSpace · cited by 2040UniformSpaceuniformity · cited by 765uniformityIsUniformAddGroup · cited by 342IsUniformAddGroupFilter.IsCountablyGenerated · cited by 220Filter.IsCountablyGenerat…uniformity_eq_comap_nhds_zero · cited by 17uniformity_eq_comap_nhds_…IsUniformAddGroup.uniformity_…CITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.