Theorems · Theorem · general topology
LocallyLipschitz.mul
∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedCommGroup E] [inst_1 : PseudoEMetricSpace α] {f g : α → E},
LocallyLipschitz f → LocallyLipschitz g → LocallyLipschitz fun x => f x * g x- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PseudoEMetricSpacestatement and proof · cited by 1,536
- SeminormedCommGroupstatement and proof · cited by 191
- LocallyLipschitzstatement and proof · cited by 34
- LocallyLipschitzOn.mulproof · cited by 2
- LocallyLipschitz.locallyLipschitzOnproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LocallyLipschitz.divproof · cited by 0