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Proof step 73 from proof getsetShort-theorem (previous step)

j < 0 ∧ ~128 ≤ j % 256, j / 256 = i + 1, j < 0, ~32768 ≤ j, ~128 ≤ i, i ≤ 127, ~256 ≤ j % 256, j % 256 < 0 ⊦ j % 256 = 0, 256 * (i + 1) + j % 256 = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 74:
j / 256 = i + 1, ~128 ≤ j % 256, j < 0, ~32768 ≤ j, ~128 ≤ i, i ≤ 127 ⊦ j % 256 = 0, 256 * (i + 1) + j % 256 = j

Rule argument

Additional information

Used simplifier rules: zero-gels-01: ⊦ i < 0 ∧ 0 ≤ j → i < j; from specification int-abs%mod-ls-zero: 0 < j ⊦ i % (* j) < 0 ↔ i < 0 ∧ i % j ≠ 0; from specification int-div%numleledel-01: i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j; from specification int-abs%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2