Theorems · Theorem · general topology
lipschitzWith_one_norm
∀ {E : Type u_2} [inst : SeminormedAddGroup E], LipschitzWith 1 norm- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 157 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.
Cites7
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
- NNRealstatement · cited by 4,310
- SeminormedAddGroupstatement and proof · cited by 331
- LipschitzWithstatement and proof · cited by 316
- dist_zeroproof · cited by 16
- LipschitzWith.dist_rightproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- uniformContinuous_normproof · cited by 4
- ae_differentiableAt_normproof · cited by 1
- lipschitzWith_one_nnnormproof · cited by 0
- norm_fderiv_normproof · cited by 0