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Proof step 12 from proof le-2pot-01 (previous step)

0 ≤ j0, j0 < 2, 0 ≤ i, 0 ≤ i0, i0 * 2 + j0 ≤ 2 ^ i * 2 + 1, 2 ^ i < i0 ⊦

User applied rule insert spec-lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: modlep-03 seq: j * i + j0 ≤ j * i0 + j1, 0 ≤ j0, j0 < j, abs(j1) < j ⊦ i ≤ i0 subst: [j, i, j0, i0, j1] → [2, i0, j0, 2 ^ i, 1] flags:

Additional information

Used simplifier rules: lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult Used terms: 2, i0, j0, 2 ^ i, 1