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Theorems · Theorem · measure theory

Measurable.imp

∀ {α : Type u_1} [inst : MeasurableSpace α] {p q : α → Prop},
  Measurable p → Measurable q → Measurable fun a => p a → q a
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Constructions
Cited by
2 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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Around this declaration

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

SimpleGraph.measurableEmbedding_edgeSet · cited by 3SimpleGraph.measurableEmb…Measurable.subset · cited by 1Measurable.subsetMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurablemeasurableSet_setOfPred · cited by 19measurableSet_setOfPredMeasurable.setOf · cited by 8Measurable.setOfMeasurableSet.himp · cited by 2MeasurableSet.himpMeasurable.impCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.