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Theorems · Theorem · Lie groups

uniformContinuous_inv

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α], UniformContinuous fun x => x⁻¹
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
9 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceGroupIsUniformGroup
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Around this declaration

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

Filter.Tendsto.uniformity_inv · cited by 4Tendsto.uniformity_invTendstoLocallyUniformly.inv · cited by 1TendstoLocallyUniformly.i…TotallyBounded.inv · cited by 1TotallyBounded.invTendstoUniformly.inv · cited by 1TendstoUniformly.invTendstoLocallyUniformlyOn.inv · cited by 1TendstoLocallyUniformlyOn…TendstoUniformlyOn.inv · cited by 1TendstoUniformlyOn.invTendstoUniformlyOnFilter.inv · cited by 1TendstoUniformlyOnFilter.…UniformCauchySeqOn.inv · cited by 1UniformCauchySeqOn.invCauchySeq.inv · cited by 0CauchySeq.invGroup · cited by 6238GroupUniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousIsUniformGroup · cited by 145IsUniformGroupuniformContinuous_id · cited by 51uniformContinuous_idUniformContinuous.inv · cited by 3UniformContinuous.invuniformContinuous_invCITED BYCITES

Cites6

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

Cited by9

Results whose statement or proof uses this declaration.