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Proof step 48 from proof pot2-est-div6 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
(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 ⊦

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%succ-02: ⊦ i < j + 1 ↔ i ≤ j; from specification int-abs%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs