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Theorems · Theorem · Lie groups

IsUniformGroup.uniformity_countably_generated

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] [(nhds 1).IsCountablyGenerated],
  (uniformity α).IsCountablyGenerated
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
0 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceGroupIsUniformGroupFilter.IsCountablyGenerated
Mathlib docsSourceLoogleLeanSearch

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Filter · cited by 8121FilterGroup · cited by 6238Groupnhds · cited by 5554nhdsUniformSpace · cited by 2040UniformSpaceuniformity · cited by 765uniformityFilter.IsCountablyGenerated · cited by 220Filter.IsCountablyGenerat…IsUniformGroup · cited by 145IsUniformGroupuniformity_eq_comap_nhds_one · cited by 11uniformity_eq_comap_nhds_…IsUniformGroup.uniformity_cou…CITED BYCITES

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