Theorems · Theorem · general topology
LipschitzWith.eval
∀ {ι : Type x} {α : ι → Type u} [inst : (i : ι) → PseudoEMetricSpace (α i)] [inst_1 : Fintype ι] (i : ι),
LipschitzWith 1 (Function.eval i)- Defined in
- Mathlib.Topology.EMetricSpace.Lipschitz
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpaceFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- NNRealstatement · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.edistproof · cited by 735
- LipschitzWithstatement · cited by 316
- Function.evalstatement and proof · cited by 140
- LipschitzWith.of_edist_leproof · cited by 12
- edist_le_pi_edistproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.memLp_pi_iffproof · cited by 2
- LipschitzOnWith.ae_differentiableWithinAt_of_mem_piproof · cited by 1
- Real.volume_pi_le_diam_powproof · cited by 1
- LocallyBoundedVariationOn.ae_differentiableWithinAt_of_mem_piproof · cited by 1