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Theorems · Theorem · measure theory

Subsingleton.measurable

∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] [Subsingleton α],
  Measurable f
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Basic
Cited by
3 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpaceSubsingleton
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Around this declaration

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

MeasureTheory.lmarginal_empty · cited by 4MeasureTheory.lmarginal_e…Subsingleton.aemeasurable · cited by 0Subsingleton.aemeasurablemeasurable_of_empty · cited by 0measurable_of_emptySet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurableSet · cited by 3075MeasurableSetMeasurable · cited by 1499MeasurableSubsingleton.measurableSet · cited by 2Subsingleton.measurableSetSubsingleton.measurableCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.