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Proof step 2 from proof lemon2pot-01 (previous step)

j ≤ 2 ^ n→i(m * n - 1), n ≤ n0 ⊦ m = 0, n = 0, j ≤ 2 ^ n→i(m * n0 - 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ j ≤ 2 ^ i ∧ i ≤ i0 ∧ 0 ≤ i → j ≤ 2 ^ i0
Proof step 4:
n ≤ n0, j ≤ 2 ^ n→i(m * n - 1) ⊦ m = 0, n = 0, j ≤ 2 ^ n→i(m * n0 - 1), j ≤ 2 ^ n→i(m * n - 1) ∧ n→i(m * n - 1) ≤ n→i(m * n0 - 1) ∧ 0 ≤ n→i(m * n - 1)

Rule argument

spec: <toplevel> name: lemon2pot seq: ⊦ j ≤ 2 ^ i ∧ i ≤ i0 ∧ 0 ≤ i → j ≤ 2 ^ i0 subst: [j, i, i0] → [j, n→i(m * n - 1), n→i(m * n0 - 1)] flags: <all paths>

Additional information

Used terms: j, n→i(m * n - 1), n→i(m * n0 - 1)