Theorems · Theorem · general topology
AntilipschitzWith.le_mul_norm_div
∀ {F : Type u_3} [inst : SeminormedCommGroup F] {E : Type u_5} [inst_1 : SeminormedCommGroup E] {K : NNReal}
{f : E → F}, AntilipschitzWith K f → ∀ (x y : E), ‖x⁻¹ * y‖ ≤ ↑K * ‖(f x)⁻¹ * f y‖- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
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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 and proof · cited by 4,310
- NNReal.toRealstatement and proof · cited by 1,260
- SeminormedCommGroupstatement and proof · cited by 191
- AntilipschitzWithstatement and proof · cited by 132
- AntilipschitzWith.le_mul_distproof · cited by 7
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