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Fill null, atomic, restriction, and infimum constructors for boolean algebras - #693

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Fill null, atomic, restriction, and infimum constructors for boolean algebras#693
Chessing234 wants to merge 1 commit into
teorth:mainfrom
Chessing234:feat/null-atoms-restrict

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@Chessing234

@Chessing234 Chessing234 commented Sep 7, 2026

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Summary

  • Null algebra: empty is null, complement swaps the two disjuncts, and null sets (and their complements) are Lebesgue measurable.
  • Atomic algebra: empty is the empty union of atoms; the discrete partition is singletons; the trivial partition is a single copy of univ.
  • Restriction along a subset is preimage, so empty/complement/union are those of the ambient algebra.
  • Infima of algebras are pointwise.

Test plan

  • lake build Analysis.MeasureTheory.Section_1_4_1; CI covers the module.

…algebras.

Empty/complement for null sets, discrete and trivial partitions, restriction along a subset, and pointwise infima of algebras.
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