Theorems · Theorem · measure theory
Measurable.infNndist
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α]
[inst_3 : MeasurableSpace β] {f : β → α}, Measurable f → ∀ {s : Set α}, Measurable fun x => Metric.infNndist (f x) s- 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.
Cites9
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
- MeasurableSpacestatement and proof · cited by 13,106
- NNRealstatement · cited by 4,310
- PseudoMetricSpacestatement and proof · cited by 1,550
- Measurablestatement and proof · cited by 1,499
- OpensMeasurableSpacestatement and proof · cited by 636
- Measurable.compproof · cited by 234
- Metric.infNndiststatement · cited by 8
- measurable_infNndistproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- measurable_of_tendsto_metrizable'proof · cited by 7