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Proof step 1 from proof add-scale-eq (conclusion)

⊦ dec_i.scale = dec_j.scale ∧ dec_i.int + dec_j.int ≠ 0 → (dec_i + dec_j).scale ≤ dec_i.scale

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
dec_i.scale = dec_j.scale, dec_j.scale < (dec_i + dec_j).scale ⊦ dec_i.int + dec_j.int = 0

Rule argument

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs