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Proof step 14 from proof mult-ls (previous step)

0 < i ⊦ (i * i1) * 10 ^ abs(abs(i0) + abs(i4)) < (i * i3) * 10 ^ abs(abs(i0) + abs(i2)) ↔ mkDecimal(i1, i2) < mkDecimal(i3, i4)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; from specification int-mult%ls-pos: ⊦ 0 < i → (i * j < i * j0 ↔ j < j0); from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%abs-abs-01: ⊦ abs(abs(i) + abs(j)) = abs(i) + abs(j); from specification int-abs