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Theorems · Theorem · Lie groups

isUniformGroup_sInf

∀ {G : Type u_1} [inst : Group G] {us : Set (UniformSpace G)}, (∀ u ∈ us, IsUniformGroup G) → IsUniformGroup G
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Constructions
Cited by
1 results in Mathlib
Foundations
Depth 76 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_iInf · cited by 1isUniformGroup_iInfSet · cited by 53352SetGroup · cited by 6238GroupUniformSpace · cited by 2040UniformSpaceInfSet.sInf · cited by 935InfSet.sInfIsUniformGroup · cited by 145IsUniformGroupIsUniformGroup.uniformContinuous_div · cited by 2IsUniformGroup.uniformCon…uniformContinuous_sInf_dom₂ · cited by 2uniformContinuous_sInf_do…uniformContinuous_sInf_rng · cited by 2uniformContinuous_sInf_rngisUniformGroup_sInfCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.