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Decide Exercise 9.2.1 function algebra claims - #668

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Decide Exercise 9.2.1 function algebra claims#668
Chessing234 wants to merge 1 commit into
teorth:mainfrom
Chessing234:fix/exercise-9-2-1-algebra

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@Chessing234 Chessing234 commented Aug 29, 2026

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Summary

  • Prove (a),(c),(d) true: left composition and both multiplications distribute over addition.
  • Disprove (b): squaring does not distribute over addition under composition.

Test plan

  • CI / lake build Analysis/Section_9_2.lean

Addition distributes over composition on the left and multiplication
distributes both ways; composition on the right of a sum does not.
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