Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `Multiplicative soundness bounds for sampled tests` (2nd statement)

groundedproofs/Lax253009Proofs/BernoulliSampling.lean · lax-253009

What this proof establishes

thm✓Lax253009.BernoulliSampling (2nd statement)

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

Exponential Markov with parameter log 2. A Bernoulli variable has moment 1+p at this parameter, bounded by exp p; the independent moments multiply.