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theories/lebesgue_integral.v

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@@ -4039,7 +4039,7 @@ Qed.
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Lemma ae_eq_integral (D : set T) (g f : T -> \bar R) :
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measurable D -> measurable_fun D f -> measurable_fun D g ->
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ae_eq D f g -> integral mu D f = integral mu D g.
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ae_eq D f g -> \int[mu]_(x in D) f x = \int[mu]_(x in D) g x.
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Proof.
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move=> mD mf mg /ae_eq_funeposneg[Dfgp Dfgn].
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rewrite integralE// [in RHS]integralE//; congr (_ - _).

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