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Theorems · Theorem · Lie groups

IsUniformGroup.ext

∀ {G : Type u_3} [inst : Group G] {u v : UniformSpace G}, IsUniformGroup G → IsUniformGroup G → nhds 1 = nhds 1 → u = v
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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

IsUniformGroup.ext_iff · cited by 0IsUniformGroup.ext_iffFilter · cited by 8121FilterGroup · cited by 6238Groupnhds · cited by 5554nhdsUniformSpace · cited by 2040UniformSpaceuniformity · cited by 765uniformityFilter.comap · cited by 546Filter.comapIsUniformGroup · cited by 145IsUniformGroupUniformSpace.ext · cited by 34UniformSpace.extuniformity_eq_comap_nhds_one · cited by 11uniformity_eq_comap_nhds_…IsUniformGroup.extCITED BYCITES

Cites9

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Cited by1

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