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Fill positivity and empty for counting measure - #701

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teorth:mainfrom
Chessing234:feat/counting-measure-empty
Open

Fill positivity and empty for counting measure#701
Chessing234 wants to merge 1 commit into
teorth:mainfrom
Chessing234:feat/counting-measure-empty

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@Chessing234

@Chessing234 Chessing234 commented Sep 7, 2026

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Summary

  • Counting measure as a finitely additive measure is ENat.card, which is nonnegative and zero on the empty set. Finite additivity is left as sorry.

Test plan

  • lake build Analysis.MeasureTheory.Section_1_4_3; CI covers the module.

The cardinality of the empty set is zero, and ENat-valued cardinality is nonnegative.
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