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Proof step 16 from proof longshiftzero-carry-01 (previous step)

0 < (i + band(4294967295, j) + band(4294967295, j0) - 4294967296) / 4294967296, i ≤ (i + band(4294967295, j) + band(4294967295, j0) - 4294967296) / 4294967296, 0 ≤ i + band(4294967295, j) + band(4294967295, j0), 0 ≤ i, i ≤ 1, 0 < i + band(4294967295, j) + band(4294967295, j0), 4294967296 ≤ i + band(4294967295, j) + band(4294967295, j0) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
0 < j, 0 ≤ i, i < j ⊦ i / j = 0
Proof step 18:
¬ ( 0 < 4294967296 ∧ 0 ≤ i + band(4294967295, j) + band(4294967295, j0) - 4294967296 ∧ i + band(4294967295, j) + band(4294967295, j0) - 4294967296 < 4294967296), 0 < (i + band(4294967295, j) + band(4294967295, j0) - 4294967296) / 4294967296, i ≤ (i + band(4294967295, j) + band(4294967295, j0) - 4294967296) / 4294967296, 0 ≤ i + band(4294967295, j) + band(4294967295, j0), 0 ≤ i, i ≤ 1, 0 < i + band(4294967295, j) + band(4294967295, j0), 4294967296 ≤ i + band(4294967295, j) + band(4294967295, j0) ⊦

Rule argument

seq: 0 < j, 0 ≤ i, i < j ⊦ i / j = 0 subst: [j, i] → [4294967296, i + band(4294967295, j) + band(4294967295, j0) - 4294967296] rotate: F spec: int-div inst: name: div-zero

Additional information

Used simplifier rules: ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;% ⊦ i - j < i0 ↔ i < j + i0; Used terms: 4294967296, i + band(4294967295, j) + band(4294967295, j0) - 4294967296