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Proof step 2 from proof scale-neq-01 (previous step)

mkDecimal(i, abs(j) - 1).scale = abs(j) ⊦ j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: scale-neq seq: ⊦ abs(j) < j0 → mkDecimal(i, j).scale ≠ j0 subst: [j0, j, i] → [abs(j), abs(j) - 1, i] flags: rewrite, current

Additional information

Used simplifier rules: abs-abs: ⊦ j ≠ 0 → abs(abs(j) - 1) = abs(j) - 1; from specification int-abs%sub-ls: ⊦ i - j < i0 ↔ i < j + i0; from specification int-abs%succ-02: ⊦ i < j + 1 ↔ i ≤ j; from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%irref: ⊦ ¬ i < i; from specification int-basic1%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2 Used terms: abs(j), abs(j) - 1, i