Theorems · Theorem · functional analysis
antilipschitzWith_mul_left
∀ {α : Type u_1} [inst : NonUnitalNormedRing α] [NormMulClass α] {a : α},
a ≠ 0 → AntilipschitzWith ‖a‖₊⁻¹ fun x => a * x- Defined in
- Mathlib.Analysis.Normed.Ring.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Norm.normproof · cited by 5,413
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- NonUnitalNormedRingstatement and proof · cited by 231
- dist_eq_normproof · cited by 182
- norm_mulproof · cited by 171
- AntilipschitzWithstatement · cited by 132
- NormMulClassstatement and proof · cited by 66
- inv_mul_cancel_left₀proof · cited by 47
- AntilipschitzWith.of_le_mul_distproof · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.