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Theorems · Theorem · measure theory

Measurable.of_le_map

∀ {α : Type u_1} {β : Type u_2} {m₁ : MeasurableSpace α} {m₂ : MeasurableSpace β} {f : α → β},
  m₂ ≤ MeasurableSpace.map f m₁ → Measurable f

Alias of the reverse direction of measurable_iff_le_map.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Basic
Cited by
6 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Measurable.prod · cited by 9Measurable.prodMeasureTheory.Measure.measurable_of_measurable_coe · cited by 9Measure.measurable_of_mea…measurable_generateFrom · cited by 6measurable_generateFromContinuous.borel_measurable · cited by 3Continuous.borel_measurab…measurable_inl · cited by 1measurable_inlmeasurable_inr · cited by 1measurable_inrMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurableMeasurableSpace.map · cited by 23MeasurableSpace.mapmeasurable_iff_le_map · cited by 3measurable_iff_le_mapMeasurable.of_le_mapCITED BYCITES

Cites4

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Cited by6

Results whose statement or proof uses this declaration.