Zulip Chat Archive

Stream: Is there code for X?

Topic: Equivalent theorems for lebesgue integral from Bochner


Pietro Lavino (Jun 26 2024 at 23:17):

I proved some result using the Bochner integral, and realized just now it might be more convenient to have with the lebesgue integral instead. several lemmas and mathlib theorem were necessary and was wondering if equivalent theorems were available for the lebesgue integral of the following, `setIntegral_congr_ae₀, setIntegral_const,integral_iUnion_ae '. Is there any theorems relating the bochner and lebesgue integral, perhaps they are equivalent in certain cases?

Yury G. Kudryashov (Jun 27 2024 at 00:49):

@loogle MeasureTheory.integral, MeasureTheory.lintegral

loogle (Jun 27 2024 at 00:49):

:search: MeasureTheory.lintegral_coe_eq_integral, MeasureTheory.norm_integral_le_lintegral_norm, and 27 more


Last updated: May 02 2025 at 03:31 UTC