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feat(CurveIntegral): segment-level lemmas and FTC along a line segment#21

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feat/curveIntegral-segment-FTC
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feat(CurveIntegral): segment-level lemmas and FTC along a line segment#21
FordUniver wants to merge 2 commits into
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feat/curveIntegral-segment-FTC

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@FordUniver FordUniver commented May 11, 2026

Splits the existing PathOperations section into a dedicated Segment section with [NormedSpace ℝ E] hoisted to the variable block, and adds:

  • curveIntegrable_segment_const
  • ContinuousOn.curveIntegrable_of_contDiffOn
  • Path.segment_contDiffOn
  • ContinuousOn.curveIntegrable_segment, Continuous.curveIntegrable_segment
  • curveIntegral_fderiv_segment — FTC along a line segment

curveIntegrable_segment is renamed to curveIntegrable_segment_iff (deprecated alias retained).


Used by an upcoming descent-lemma PR for Lipschitz-smooth functions.

Splits the existing `PathOperations` section into a dedicated `Segment`
section with `[NormedSpace ℝ E]` hoisted to the variable block, and adds:

- `curveIntegrable_segment_const`
- `ContinuousOn.curveIntegrable_of_contDiffOn`
- `Path.segment_contDiffOn`
- `ContinuousOn.curveIntegrable_segment`, `Continuous.curveIntegrable_segment`
- `curveIntegral_fderiv_segment` — FTC along a line segment

`curveIntegrable_segment` is renamed to `curveIntegrable_segment_iff`
(deprecated alias retained).
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