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Proof step 50 from proof pot2-est-div6 (previous step)

(i0 + 1) * 6 < 2 ^ i0, j0 < 6, 2 ^ i0 ≤ (i0 * 6 + j0) + 1, 36 ≤ i0 * 6 + j0, 0 ≤ j0, 0 ≤ i0, 0 < i0 * 6 + j0, (i0 + 1) * 6 ≤ i0 * 6 + j0 ⊦ (i0 * 6 + j0) + 1 ≤ i0 * 6 + 6

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 51:
⊦ i + j + i0 = (i + j) + i0
Proof step 52:
(i0 + 1) * 6 < 2 ^ i0, j0 < 6, 2 ^ i0 ≤ i0 * 6 + j0 + 1, 36 ≤ i0 * 6 + j0, 0 ≤ j0, 0 ≤ i0, 0 < i0 * 6 + j0, (i0 + 1) * 6 ≤ i0 * 6 + j0 ⊦ i0 * 6 + j0 + 1 ≤ i0 * 6 + 6

Rule argument

spec: int-basic2 inst: name: add-a seq: ⊦ i + j + i0 = (i + j) + i0 subst: [i0, j, i] → [1, j0, i0 * 6] flags: rewrite

Additional information

Used terms: 1, j0, i0 * 6