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Proof step 7 from proof short-mult-max (previous step)

0 < i, 256 * 256 ≤ i * j, i < 256, j ≤ 256, 256 * 256 < 256 * j, 0 < j ⊦ i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: ls-pos seq: ⊦ 0 < i → (i * j < i * j0 ↔ j < j0) subst: [j0, j, i] → [j, 256, 256] flags: rewrite, current

Additional information

Used simplifier rules: associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;%lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs Used terms: j, 256, 256