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Proof step 5 from proof ls-zero (previous step)

⊦ mkDecimal(0 * 10 ^ abs(j) - i * 10 ^ abs(0), abs(0) + abs(j)).int < 0 ↔ 0 < i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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%add-zero: ⊦ i + 0 = i; from specification int-basic2%neg-06: ⊦ 0 - i = ~ i; from specification int-abs%one: ⊦ 1 * i = i; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%Mult-zero: ⊦ i * 0 = 0; from specification int-mult