Theorems · Theorem · general topology
continuous_dist
∀ {α : Type u_1} [inst : PseudoMetricSpace α], Continuous fun p => dist p.1 p.2- Cited by
- 9 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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.
- Realstatement · cited by 25,697
- Continuousstatement · cited by 2,592
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- UniformContinuous.continuousproof · cited by 66
- uniformContinuous_distproof · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- Continuous.distproof · cited by 20
- Filter.Tendsto.distproof · cited by 13
- Measurable.distproof · cited by 2
- Metric.isBounded_closure_of_isBoundedproof · cited by 1
- measurable_distproof · cited by 0
- Isometry.isometry_mapRingHomproof · cited by 0
- MeasureTheory.StronglyMeasurable.distproof · cited by 0
- AEMeasurable.distproof · cited by 0
- MeasureTheory.AEStronglyMeasurable.distproof · cited by 0