Theorems · Theorem · Lie groups

uniformity_eq_comap_nhds_one_left

∀ (G : Type u_1) [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G],
  uniformity G = Filter.comap (fun p => p.1⁻¹ * p.2) (nhds 1)

Defined in: Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group TopologicalSpace IsTopologicalGroup

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TopologicalSpacestatement and proof · cited by 24,529
Filterstatement · cited by 8,121
Groupstatement and proof · cited by 6,238
nhdsstatement · cited by 5,554
uniformitystatement · cited by 765
Filter.comapstatement · cited by 546
IsTopologicalGroupstatement and proof · cited by 469
IsTopologicalGroup.leftUniformSpacestatement · cited by 6

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