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Theorems · Theorem · measure theory

Measurable.eq

∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : MeasurableSpace β] [MeasurableEq β] {f g : α → β},
  Measurable f → Measurable g → Measurable fun x => f x = g x
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Constructions
Cited by
3 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableEq
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Around this declaration

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

ae_eq_trim_of_measurable · cited by 2ae_eq_trim_of_measurableConvexOn.apply_rnDeriv_ae_le_integral · cited by 1ConvexOn.apply_rnDeriv_ae…ProbabilityTheory.rnDeriv_posterior_symm · cited by 1ProbabilityTheory.rnDeriv…MeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurablemeasurableSet_setOfPred · cited by 19measurableSet_setOfPredMeasurableEq · cited by 6MeasurableEqmeasurableSet_eq_fun · cited by 5measurableSet_eq_funMeasurable.eqCITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.