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Proof step 43 from proof Binom-theorem-countFun (previous step)

⊦ Σ countFun(i2, i1, λ j0. i0 * binom_coef(i1, j0) * i ^ j0 * i0 ^ (i1 - j0)) = Σ countFun(i2, i1, λ j0. binom_coef(i1, j0) * i ^ j0 * i0 ^ (i1 + 1 - j0))

Lemma countFun-pot