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Theorems · Theorem · Lie groups

uniformContinuous_neg

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

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

Filter.Tendsto.uniformity_neg · cited by 4Tendsto.uniformity_negCauchySeq.neg · cited by 2CauchySeq.negTendstoUniformlyOnFilter.neg · cited by 2TendstoUniformlyOnFilter.…TendstoUniformlyOn.neg · cited by 2TendstoUniformlyOn.negTendstoLocallyUniformly.neg · cited by 1TendstoLocallyUniformly.n…TendstoUniformly.neg · cited by 1TendstoUniformly.negTotallyBounded.neg · cited by 1TotallyBounded.negTendstoLocallyUniformlyOn.neg · cited by 1TendstoLocallyUniformlyOn…UniformCauchySeqOn.neg · cited by 1UniformCauchySeqOn.negUniformSpace.Completion.coe_neg · cited by 0Completion.coe_negAddGroup · cited by 4410AddGroupUniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousIsUniformAddGroup · cited by 342IsUniformAddGroupuniformContinuous_id · cited by 51uniformContinuous_idUniformContinuous.neg · cited by 3UniformContinuous.neguniformContinuous_negCITED BYCITES

Cites6

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

Cited by10

Results whose statement or proof uses this declaration.