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@@ -2031,7 +2033,7 @@ Lemma lebesgue_regularity_inner_sup (D : set R) (eps : R) : measurable D ->
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Proof.
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move=> mD; have [?|] := ltP (mu D) +oo.
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exact: lebesgue_regularity_innerE_bounded.
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-
have /sigma_finiteP [/= F RFU [Fsub ffin]] := sigma_finiteT mu.
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+
have /sigma_finiteP [/= F RFU [Fsub ffin]] := sigmaT_finite_lebesgue_measure R (*TODO: sigma_finiteT mu should be enough but does not seem to work with holder version of mathcomp/coq *).
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rewrite leye_eq => /eqP /[dup] + ->.
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have {1}-> : D = \bigcup_n (F n `&` D) by rewrite -setI_bigcupl -RFU setTI.
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