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Carleson.ToMathlib.MeasureTheory.Measure.NoAtoms.Pi

Finite products of measures without atoms #

TODO: prove a version without topological assumptions.

theorem MeasureTheory.NoAtoms'.pi {ι : Type u_1} [Fintype ι] [Nonempty ι] {X : ι → Type u_2} [(i : ι) → MetricSpace (X i)] [∀ (i : ι), ProperSpace (X i)] [(i : ι) → MeasurableSpace (X i)] [∀ (i : ι), BorelSpace (X i)] (μ : (i : ι) → Measure (X i)) [∀ (i : ι), IsLocallyFiniteMeasure (μ i)] [∀ (i : ι), SigmaFinite (μ i)] [∀ (i : ι), NullSingletonClass (μ i)] :

Analogue of MeasureTheory.Measure.pi_nullSingletonClass' for NoAtoms'.