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reversed parameterized integral - #2091

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affeldt-aist:parameterized_integral_20260823
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affeldt-aist wants to merge 1 commit into
math-comp:masterfrom
affeldt-aist:parameterized_integral_20260823

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Motivation for this change

Two lemmas to be able to use the parameterized integral from a variable x to a constant b in addition to the (default) parameterized integral from constant a to variable x. It is currently being used in a completed development.

Checklist
  • added corresponding entries in CHANGELOG_UNRELEASED.md

- [ ] added corresponding documentation in the headers

Reference: How to document

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Reminder to reviewers

@affeldt-aist affeldt-aist added this to the 1.18.0 milestone Aug 23, 2026
@affeldt-aist affeldt-aist added the enhancement ✨ This issue/PR is about adding new features enhancing the library label Aug 23, 2026
Comment thread theories/ftc.v
Let int := (parameterized_integral mu).

Lemma parameterized_integralN_continuous a b (f : R -> R) : a <= b ->
{within `[a, b], continuous f} ->

@holgerthies holgerthies Aug 26, 2026

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Could the assumption {within [a, b], continuous f} be weakened to mu.-integrable [a, b] (EFin \o f) ?

@affeldt-aist affeldt-aist Aug 27, 2026

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Yes, it could be (like parameterized_integral_continuous). (And it should maybe be done before merging.)

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Let's postpone since it might take some time.

@affeldt-aist affeldt-aist modified the milestones: 1.18.0, 1.19.0 Aug 30, 2026

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