Theorems · Theorem · general topology
LipschitzWith.prod_fst
∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β], LipschitzWith 1 Prod.fst- Defined in
- Mathlib.Topology.EMetricSpace.Lipschitz
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.edistproof · cited by 735
- LipschitzWithstatement · cited by 316
- le_max_leftproof · cited by 215
- LipschitzWith.of_edist_leproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.memLp_prod_iffproof · cited by 3
- uniformContinuous_vaddproof · cited by 0
- uniformContinuous_vsubproof · cited by 0
- NNReal.lipschitzWith_subproof · cited by 0
- SeminormedAddCommGroup.lipschitzWith_subproof · cited by 0