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Proof step 4 from proof add-scale-eq (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
dec_i.scale = dec_j.scale, dec_j.scale < mkDecimal(dec_i.int * 10 ^ dec_j.scale + dec_j.int * 10 ^ dec_j.scale, 2 * dec_j.scale).scale ⊦ dec_i.int + dec_j.int = 0

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-mult-two: ⊦ i + i = 2 * i; from specification int-mult