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Proof step 25 from proof div-div-pred-01 (previous step)

j0 ≤ 0, i1 * 4 + j1 ≤ ~3, i1 * 4 + j1 < 0, abs(j0) < 2, abs(j1) < 4, i1 ≤ 0, j1 ≤ 0, j0 + 8 * i1 + j1 * 2 < ~7, j0 + 8 * i1 + j1 * 2 < 0 ⊦ i1 = (j0 + 8 * i1 + j1 * 2) / 8

User applied rule cut formula

And obtained the following new goals

Proof step 26:
j0 + 8 * i1 + j1 * 2 = 8 * i1 + j0 + j1 * 2, j0 ≤ 0, i1 * 4 + j1 ≤ ~3, i1 * 4 + j1 < 0, abs(j0) < 2, abs(j1) < 4, i1 ≤ 0, j1 ≤ 0, j0 + 8 * i1 + j1 * 2 < ~7, j0 + 8 * i1 + j1 * 2 < 0 ⊦ i1 = (j0 + 8 * i1 + j1 * 2) / 8

Rule argument

fma: j0 + 8 * i1 + j1 * 2 = 8 * i1 + j0 + j1 * 2

Additional information

Used simplifier rules: add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2 Used formulas: j0 + 8 * i1 + j1 * 2 = 8 * i1 + j0 + j1 * 2