Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.Measure.join_map_join

∀ {α : Type u_1} {mα : MeasurableSpace α} (μ : MeasureTheory.Measure (MeasureTheory.Measure (MeasureTheory.Measure α))),
  (MeasureTheory.Measure.map MeasureTheory.Measure.join μ).join = μ.join.join
Defined in
Mathlib.MeasureTheory.Measure.GiryMonad
Cited by
0 results in Mathlib
Foundations
Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.map · cited by 858Measure.mapMeasureTheory.Measure.bind · cited by 173Measure.bindaemeasurable_id · cited by 66aemeasurable_idMeasureTheory.Measure.join · cited by 26Measure.joinMeasureTheory.Measure.bind_bind · cited by 2Measure.bind_bindMeasureTheory.Measure.join_eq_bind · cited by 1Measure.join_eq_bindMeasure.join_map_joinCITED BYCITES

Cites8

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.