Lemma lebesgue_borel_int_eq (f : R -> \bar R) :
measurable_fun (T := g_sigma_algebraType (R.-ocitv.-measurable)) setT f ->
\int[lebesgue_measure]_x f x = \int[completed_lebesgue_measure]_x f x.
Is there a way to do this proof? eq_measure_integral does not seem to work because the measure_display is not the same.