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measure_theory.​decomposition

measure_theory.​decomposition

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measure_theory.​hahn_decomposition
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theorem measure_theory.​hahn_decomposition {α : Type u_1} [measurable_space α] {μ ν : measure_theory.measure α} :
⇑μ set.univ < ⊤ → ⇑ν set.univ < ⊤ → (∃ (s : set α), is_measurable s ∧ (∀ (t : set α), is_measurable t → t ⊆ s → ⇑ν t ≤ ⇑μ t) ∧ ∀ (t : set α), is_measurable t → t ⊆ sᶜ → ⇑μ t ≤ ⇑ν t)

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