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Proof step 3 from proof pot2-est-div6 (previous step)

0 < i, 36 ≤ i, 2 ^ (i / 6) ≤ i + 1, 0 ≤ i ⊦

User applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
i = i0 * 6 + j0, 0 < i, j0 < 6, 0 < 6, 0 ≤ i, 2 ^ i0 ≤ i + 1, 36 ≤ i, 0 ≤ j0, 0 ≤ i0 ⊦

Rule argument

spec: int-div name: div-elim-pospos seq: ⊦ 0 < j ∧ 0 ≤ i → ( i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ 0 ≤ j0 ∧ j0 < j ∧ 0 ≤ i0) subst: [i, j, i0, j0] → [i, 6, i0, j]

Additional information

Used simplifier rules: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; (s)%⊦ 0 < j ∧ 0 ≤ i → ( i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ 0 ≤ j0 ∧ j0 < j ∧ 0 ≤ i0); (elim) Used terms: i, 6, i0, j