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Proof step 5 from proof mult-pos-02 (previous step)

dec_j = mkDecimal(i1, i2), mkDecimal(0, 0) ≤ dec_j, mkDecimal(i, i0) * dec_j < mkDecimal(i, i0), mkDecimal(i, i0) * dec_j < mkDecimal(0, 0), mkDecimal(i, i0) * dec_j < dec_j, 0 ≤ i ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: le-zero: ⊦ mkDecimal(0, 0) ≤ mkDecimal(i, j) ↔ 0 ≤ i;%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs