Theorems · Definition · general topology
Metric.infNndist
{α : Type u} → [PseudoMetricSpace α] → α → Set α → NNRealThe minimal distance of a point to a set as a ℝ≥0
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 148 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NNRealstatement · cited by 4,310
- PseudoMetricSpacestatement and proof · cited by 1,550
- ENNReal.toNNRealproof · cited by 165
- Metric.infEDistproof · cited by 147
Cited by8
Results whose statement or proof uses this declaration.
- measurable_of_tendsto_metrizable'proof · cited by 7
- Metric.continuous_infNndist_ptstatement · cited by 2
- Metric.uniformContinuous_infNndist_ptstatement · cited by 1
- measurable_infNndiststatement · cited by 1
- Metric.lipschitz_infNndist_ptstatement · cited by 1
- Measurable.infNndiststatement · cited by 1
- Metric.coe_infNndiststatement · cited by 0
- EuclideanGeometry.dist_orthogonalProjection_eq_infNndiststatement · cited by 0