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Update theories/lebesgue_integral.v
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Co-authored-by: Cyril Cohen <[email protected]>
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affeldt-aist and CohenCyril authored Feb 5, 2025
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4 changes: 2 additions & 2 deletions theories/lebesgue_integral.v
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Expand Up @@ -3497,8 +3497,8 @@ apply: ge0_subset_integral => //=.
by move=> ? _; rewrite lee_fin f0.
Qed.

Lemma ge0_cvg_integral :
(fun n => \int[mu]_(x in `[0%R, n%:R]) (f x)%:E) @ \oo -->
Lemma ge0_cvgn_integral :
\int[mu]_(x in `[0%R, n%:R]) (f x)%:E @[n --> \oo] -->
\int[mu]_(x in `[0%R, +oo[) (f x)%:E.
Proof.
rewrite -cvg_shiftS/= ge0_integral_ereal_sup//.
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