Theorems · Theorem · general topology
uniformContinuous_norm
∀ {E : Type u_2} [inst : SeminormedAddGroup E], UniformContinuous norm- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- UniformContinuousstatement · cited by 410
- SeminormedAddGroupstatement and proof · cited by 331
- LipschitzWith.uniformContinuousproof · cited by 33
- lipschitzWith_one_normproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.norm_coeproof · cited by 17
- PadicComplex.norm_eq_norm'proof · cited by 1
- TendstoUniformlyOn.tendsto_intervalIntegral_of_continuousOnproof · cited by 1
- uniformContinuous_nnnormproof · cited by 0