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Theorems · Theorem · measure theory

Measurable.le_map

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

Alias of the forward direction of measurable_iff_le_map.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Basic
Cited by
1 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.

MeasurableEquiv.map_eq · cited by 0MeasurableEquiv.map_eqMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurableMeasurableSpace.map · cited by 23MeasurableSpace.mapmeasurable_iff_le_map · cited by 3measurable_iff_le_mapMeasurable.le_mapCITED BYCITES

Cites4

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Cited by1

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