Theorems · Theorem · general topology
LipschitzWith.nnorm_le_mul
∀ {E : Type u_2} {F : Type u_3} [inst : SeminormedAddGroup E] [inst_1 : SeminormedAddGroup F] {f : E → F} {K : NNReal},
LipschitzWith K f → f 0 = 0 → ∀ (x : E), ‖f x‖₊ ≤ K * ‖x‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
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- NNRealstatement and proof · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- SeminormedAddGroupstatement and proof · cited by 331
- LipschitzWithstatement and proof · cited by 316
- LipschitzWith.norm_le_mulproof · cited by 2
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