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Complete summable FPS coefficient and Fubini rules - #5

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faabian:repair/infinite-sums-fidelity
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Complete summable FPS coefficient and Fubini rules#5
faabian wants to merge 1 commit into
facebookresearch:mainfrom
faabian:repair/infinite-sums-fidelity

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@faabian faabian commented Jul 27, 2026

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Completes two clauses of the raw TeX statements that were not represented by the existing API.

  • Adds the arbitrary determining-finset coefficient formula from Proposition prop.fps.summable=fin-det(b).
  • Proves summability of the families of row and column sums under product-indexed summability.
  • Adds the full discrete Fubini equality between the row-iterated, product-indexed, and column-iterated sums from Proposition prop.fps.summable-sums-rule.
  • Retains arbitrary index types and CommRing coefficients.

The proof is coefficientwise and reduces finsums to a finite rectangle containing the support.

Validation:

  • lake build AlgebraicCombinatorics.FPSDefinition
  • lake build (8078 jobs; successful; only pre-existing sorry warnings in unrelated files)

@meta-cla meta-cla Bot added the CLA Signed This label is managed by the Meta Open Source bot. label Jul 27, 2026
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