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Proof step 8 from proof div2-nls (previous step)

i + j = i0 * 2 + j0, i < 0, i < i0, j < 0, i0 ≤ 0, j0 ≤ 0, i ≤ j, j < i0, abs(j0) < 2 ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 9:
j0 = ~1, i + j = i0 * 2 + j0, i < 0, i < i0, j < 0, i0 ≤ 0, j0 ≤ 0, i ≤ j, j < i0, abs(j0) < 2 ⊦
Proof step 11:
i + j = i0 * 2 + j0, i < 0, i < i0, j < 0, i0 ≤ 0, j0 ≤ 0, i ≤ j, j < i0, abs(j0) < 2 ⊦ j0 = ~1

Rule argument

fma: j0 = ~1

Additional information

Used formulas: j0 = ~1