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Proof step 3 from proof Binom-theorem (previous step)

⊦ 0 ≤ j → (i + i0) ^ j = Σ countFun(0, j, λ j0. binom_coef(j, j0) * i ^ j0 * i0 ^ (j - j0))

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
⊦ 0 ≤ j → (i + i0) ^ j = Σ countFun(0, j, λ j0. binom_coef(j, j0) * i ^ j0 * i0 ^ (j - j0))

Rule argument

spec: inst: name: Binom-theorem-countFun seq: ⊦ 0 ≤ j → (i + i0) ^ j = Σ countFun (0, j, λ j0. binom_coef(j, j0) * i ^ j0 * i0 ^ (j - j0)) subst: [j, i, i0] → [j, i, i0] flags: current, []

Additional information

Used terms: j, i, i0