Mathlib Map

Theorems · Theorem · Lie groups

uniformContinuous_add

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α],
  UniformContinuous fun p => p.1 + p.2
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
9 results in Mathlib
Foundations
Depth 77 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_add · cited by 3Tendsto.uniformity_addUniformSpace.Completion.coe_add · cited by 3Completion.coe_addTendstoUniformlyOn.add · cited by 2TendstoUniformlyOn.addCauchySeq.add · cited by 2CauchySeq.addTendstoUniformlyOnFilter.add · cited by 2TendstoUniformlyOnFilter.…TendstoUniformly.add · cited by 1TendstoUniformly.addUniformCauchySeqOn.add · cited by 1UniformCauchySeqOn.addTendstoLocallyUniformly.add · cited by 1TendstoLocallyUniformly.a…TendstoLocallyUniformlyOn.add · cited by 1TendstoLocallyUniformlyOn…AddGroup · cited by 4410AddGroupUniformSpace · cited by 2040UniformSpaceUniformContinuous · cited by 410UniformContinuousIsUniformAddGroup · cited by 342IsUniformAddGroupuniformContinuous_fst · cited by 8uniformContinuous_fstuniformContinuous_snd · cited by 8uniformContinuous_sndUniformContinuous.add · cited by 7UniformContinuous.adduniformContinuous_addCITED BYCITES

Cites7

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.