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Proof step 17 from proof square-ls (previous step)

⊦ i * i * 10 ^ abs(i2) * 10 ^ abs(i2) < i1 * i1 * 10 ^ (2 * abs(i0)) ↔ abs(mkDecimal(i, i0)) < abs(mkDecimal(i1, i2))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-pot inst: name: pot-square-06 seq: ⊦ 0 ≤ j → i ^ (2 * j) = i ^ j * i ^ j subst: [j, i] → [abs(i0), 10] flags: rewrite

Additional information

Used simplifier rules: ls-not: ⊦ ¬ dec < dec0 ↔ dec0 ≤ dec;%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%abs-03: ⊦ 0 ≤ abs(i); from specification int-abs Used terms: abs(i0), 10