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Section 11.8: fix RS integrators from issue #517#528

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Chessing234:fix/issue-517-section-118-integrators
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Section 11.8: fix RS integrators from issue #517#528
Chessing234 wants to merge 1 commit into
teorth:mainfrom
Chessing234:fix/issue-517-section-118-integrators

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Summary

Fixes two false statements in Section_11_8.lean reported in #517.

  • Example 11.8.6 (f_11_8_6_RS_integ): Tao uses (\alpha(x)=x^2), so the RS integral value 22 requires integrator (fun x ↦ x^2), not the identity.
  • Exercise 11.8.5 (RS_integ_with_sign): the second conjunct should integrate against Real.sign, not fun x ↦ -Real.sign x (jump at 0 is (-2), not (+2)).

Test plan

  • lake build Analysis.Section_11_8

Made with Cursor

Example 11.8.6 uses alpha(x) = x^2, and Exercise 11.8.5 integrates against sgn.

Co-authored-by: Cursor <cursoragent@cursor.com>
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