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Proof step 3 from proof mult-pos-02 (previous step)

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

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;%ls-le-trans: ⊦ dec < dec0 ∧ dec0 ≤ dec1 → dec < dec1;%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs