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Theorems · Theorem · measure theory

MeasureTheory.Measure.join_eq_bind

∀ {α : Type u_1} {mα : MeasurableSpace α} (μ : MeasureTheory.Measure (MeasureTheory.Measure α)), μ.join = μ.bind id
Defined in
Mathlib.MeasureTheory.Measure.GiryMonad
Cited by
1 results in Mathlib
Foundations
Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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MeasureTheory.Measure.join_map_join · cited by 0Measure.join_map_joinMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.bind · cited by 173Measure.bindMeasureTheory.Measure.map_id · cited by 29Measure.map_idMeasureTheory.Measure.join · cited by 26Measure.joinMeasure.join_eq_bindCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.