Extends the integration notation, assumes the axiom of dependent choice, and records that Lebesgue measure on the real line is a measure, so that integrals against it are those of a measure space.
Base. This setting extends Measurable Functions and the Lebesgue Integral: Notation: its conventions and notation are in force. The axiom of dependent choice is assumed.
Lebesgue measure. Background on Lebesgue measure on : Lebesgue Measure on the Real Line: Existence, Lengths of Intervals and Uniqueness (iv), Lebesgue Measure on the Real Line: Existence, Lengths of Intervals and Uniqueness (v) and Lebesgue Measure on the Real Line: Existence, Lengths of Intervals and Uniqueness (vi).
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