Function batch_prove

pub fn batch_prove<'a, F, P, FDomain, Transcript, Backend>(
    witnesses: impl IntoIterator<Item = GrandProductWitness<'a, P>>,
    claims: &[GrandProductClaim<F>],
    evaluation_domain_factory: impl EvaluationDomainFactory<FDomain>,
    transcript: Transcript,
    backend: &Backend,
) -> Result<GrandProductBatchProveOutput<F>, Error>
where
    F: TowerField,
    P: PackedFieldIndexable<Scalar = F> + PackedExtension<FDomain>,
    FDomain: Field,
    P::Scalar: Field + ExtensionField<FDomain>,
    Transcript: CanSample<F> + CanObserve<F> + CanWrite,
    Backend: ComputationBackend,

Proves batch reduction turning each GrandProductClaim into an EvalcheckMultilinearClaim

REQUIRES:

• witnesses and claims are of the same length
• The ith witness corresponds to the ith claim