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Proof step 13 from proof square-ls (previous step)

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

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%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%abs-01: ⊦ abs(abs(i)) = abs(i); from specification int-abs%abs-eqall: ⊦ abs(i * j) = abs(i) * abs(j); from specification int-mult