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Proof step 3 from proof le-add-01 (previous step)

⊦ ¬ dec + mkDecimal(i0, j) < mkDecimal(i, j) ↔ mkDecimal(i - i0, j) ≤ dec

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ ¬ dec < mkDecimal(i - i0, j) ↔ mkDecimal(i - i0, j) ≤ dec

Rule argument

Additional information

Used simplifier rules: ls-add: ⊦ dec + mkDecimal(i, j) < mkDecimal(i0, j) ↔ dec < mkDecimal(i0 - i, j);%add-a: ⊦ dec0 + dec1 + dec2 = (dec0 + dec1) + dec2;%add-c: ⊦ dec_i + dec_j = dec_j + dec_i;