Fill that continuous, simple, and lattice combinations of unsigned functions are measurable - #716
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The cone property is used whenever we pass from a simple representation to measurability.
The constant sequence of the function itself converges pointwise, which is clause (ii) of Lemma 1.3.9.
Open preimages are Lebesgue measurable, which is clause (x) of Lemma 1.3.9.
…measurable. The strict superlevel set of an iSup is a countable union of superlevel sets.
…easurable. The closed superlevel set of an iInf is a countable intersection of superlevel sets.
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lake build Analysis.MeasureTheory.Section_1_3_2; CI covers the module.Made with Cursor