Commit 2023-11-07 13:31 61adfa9f

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feat: bound the measure of a set by the integral of a function, from above and from below (#8123) Also weaken some T2 space assumptions in some integration lemmas.

Estimated changes

Modified Mathlib/MeasureTheory/Function/LocallyIntegrable.lean

modified theorem Continuous.integrableOn_Icc

modified theorem Continuous.integrableOn_Ioc

modified theorem Continuous.integrableOn_uIcc

modified theorem Continuous.integrableOn_uIoc

modified theorem Continuous.locallyIntegrable

modified theorem ContinuousOn.integrableOn_Icc

added theorem ContinuousOn.integrableOn_compact'

modified theorem ContinuousOn.integrableOn_compact

modified theorem ContinuousOn.integrableOn_uIcc

modified theorem ContinuousOn.locallyIntegrableOn

Modified Mathlib/MeasureTheory/Integral/Bochner.lean

added theorem MeasureTheory.integral_smul_nnreal_measure

Modified Mathlib/MeasureTheory/Integral/Lebesgue.lean

added theorem MeasureTheory.lintegral_indicator_const_le

added theorem MeasureTheory.lintegral_indicator_le

added theorem MeasureTheory.lintegral_indicator_one_le

added theorem MeasureTheory.lintegral_indicator_one₀

added theorem MeasureTheory.lintegral_le_meas

added theorem MeasureTheory.meas_le_lintegral₀

Modified Mathlib/MeasureTheory/Integral/SetIntegral.lean

added theorem MeasureTheory.Integrable.measure_le_integral

added theorem MeasureTheory.integral_le_measure