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feat(PValues): add IsPValue for composite null hypotheses - #71
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Introduce `ProbabilityTheory.IsPValue`, a structure characterising a valid p-value for a composite null hypothesis `S`: a measurable function into `ℝ≥0∞`, bounded by `1`, whose level sets have measure at most their threshold under every probability measure in `S`. Register the new module in the root `Statlib.lean`. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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Summary
Adds
Statlib/PValues/PValue.lean, introducingProbabilityTheory.IsPValue:a structure characterising a valid p-value for a composite null hypothesis
S.A
Pval : 𝓧 → ℝ≥0∞is anIsPValueforS : Set (ProbabilityMeasure 𝓧)when it is:measurable,∀ ω, Pval ω ≤ 1,μ ∈ Sand everyα,μ {ω | Pval ω ≤ α} ≤ α.The new module is registered in the root
Statlib.lean.Notes
IsPValuedefinition for the composite null.ℝ≥0∞, consistent with the measure-theoretic conventions used elsewhere in the library.Build
Local verification was blocked by a toolchain/Mathlib cache mismatch that forces a full Mathlib rebuild on this machine; relying on CI for the authoritative build. An earlier local build did produce the module's
.olean; the only change since was whitespace cleanup.🤖 Generated with Claude Code