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Proof step 4 from proof mult-le (previous step)

mkDecimal(0, 0) < dec ⊦ ¬ dec * dec_j < dec * dec_i ↔ dec_i ≤ dec_j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
mkDecimal(0, 0) < dec ⊦ ¬ dec_j < dec_i ↔ dec_i ≤ dec_j

Rule argument

Additional information

Used simplifier rules: mult-ls: ⊦ mkDecimal(0, 0) < dec → (dec * dec_i < dec * dec_j ↔ dec_i < dec_j);%mult-a: ⊦ dec0 * dec1 * dec2 = (dec0 * dec1) * dec2;%mult-c: ⊦ dec_i * dec_j = dec_j * dec_i;