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Proof step 14 from proof add-scale-eq (previous step)

dec_i.scale = dec_j.scale, maxScale(dec_i.int * 10 ^ dec_j.scale + dec_j.int * 10 ^ dec_j.scale) ≤ 2 * dec_j.scale, maxScale(dec_i.int * 10 ^ dec_j.scale + dec_j.int * 10 ^ dec_j.scale) < dec_j.scale ⊦ dec_i.int + dec_j.int = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: dist-lsplit seq: ⊦ (i + i0) * j = i * j + i0 * j subst: [i0, j, i] → [dec_j.int, 10 ^ dec_j.scale, dec_i.int] flags: rewrite

Additional information

Used terms: dec_j.int, 10 ^ dec_j.scale, dec_i.int