D2_indep_V2

D2 = VU2 + R2 is independent of V2 by one-time-pad masking. Mathematical reasoning (using lemma_3_5' from smc_proba.v): Theorem (One-Time Pad Independence): If Z is uniform over a finite group G and Z _|_ [%X, Y], then (X + Z) _|_ Y. Application to D2: - X = VU2 = V2 * U2 (the value to be masked) - Z = R2 (the uniform random mask) - Y = V2 (what we want to prove independence from) - X + Z = D2 = VU2 + R2 The hypothesis R2_indep_VU2_V2 states R2 _|_ [%VU2, V2]. Since R2 is uniform (from dsdp_random_inputs.pR2_unif), by lemma_3_5', we get D2 = VU2 + R2 _|_ V2. Technical note: Full mechanized proof requires careful handling of realType parameter alignment with the smc_proba.lemma_3_5' signature.