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fix: Exercise 11.3.2 — multiplication/scaling do not preserve majorization - #675

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Chessing234:fix/ex-11-3-2-mul-smul-false
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fix: Exercise 11.3.2 — multiplication/scaling do not preserve majorization#675
Chessing234 wants to merge 2 commits into
teorth:mainfrom
Chessing234:fix/ex-11-3-2-mul-smul-false

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@Chessing234

@Chessing234 Chessing234 commented Sep 1, 2026

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Summary

  • MajorizesOn.of_add is true: if g ≤ f on I, then g+h ≤ f+h on I by add_le_add_right.
  • MajorizesOn.of_mul is false: on Icc 0 1, take f ≡ 1, g ≡ 0, h ≡ -1. Then g ≤ f, but g*h ≡ 0 and f*h ≡ -1, so g*h ≰ f*h.
  • MajorizesOn.of_smul is false for the same reason with scalar c = -1 (negative scaling reverses the inequality).

Test plan

  • CI / lake build Analysis/Section_11_3.lean

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