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Mathlib/MeasureTheory/Measure/Real.lean
@@ -368,6 +368,10 @@ theorem measureReal_compl [IsFiniteMeasure μ] (h₁ : MeasurableSet s) :
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rw [compl_eq_univ_diff]
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exact measureReal_diff (subset_univ s) h₁
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+theorem measureReal_compl₀ [IsFiniteMeasure μ] (h₁ : NullMeasurableSet s μ) :
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+ μ.real sᶜ = μ.real univ - μ.real s := by
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+ linarith [measureReal_add_measureReal_compl₀ h₁]
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+
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theorem measureReal_union_congr_of_subset (hs : s₁ ⊆ s₂)
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(hsμ : μ.real s₂ ≤ μ.real s₁) (ht : t₁ ⊆ t₂) (htμ : μ.real t₂ ≤ μ.real t₁)
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(h₁ : μ s₂ ≠ ∞ := by finiteness) (h₂ : μ t₂ ≠ ∞ := by finiteness) :
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