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Theorems · Theorem · measure theory

Measurable.not

∀ {α : Type u_1} [inst : MeasurableSpace α] {p : α → Prop}, Measurable p → Measurable fun x => ¬p x
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…ae_eq_trim_of_measurable · cited by 2ae_eq_trim_of_measurableMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurableMeasurableSet.compl · cited by 172MeasurableSet.complmeasurableSet_setOfPred · cited by 19measurableSet_setOfPredMeasurable.setOf · cited by 8Measurable.setOfMeasurable.notCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.