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Proof step 5 from proof mod-nls-06 (previous step)

i0 < i % j, j ≤ i0 + 1, ~1 ≤ j + i0, j < 0 ⊦

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: i % j = i % ~ j

Additional information

Used simplifier rules: mod-neg: j ≠ 0 ⊦ i % ~ j = i % j;%numle-02: ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0; from specification int-abs%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2%add-zero-rev: ⊦ 0 + i = i; from specification int-basic2 Used formulas: i % j = i % ~ j