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Proof step 10 from proof longshiftzero-carry-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
0 < j, 0 ≤ i, i < j ⊦ i / j = 0
Proof step 12:
¬(0 < 4294967296 ∧ 0 ≤ i + band(4294967295, j) + band(4294967295, j0) ∧ i + band(4294967295, j) + band(4294967295, j0) < 4294967296), i ≤ 1, 0 ≤ i, 0 ≤ i + band(4294967295, j) + band(4294967295, j0), i < (i + band(4294967295, j) + band(4294967295, j0)) / 4294967296, 1 < (i + band(4294967295, j) + band(4294967295, j0)) / 4294967296, 0 < (i + band(4294967295, j) + band(4294967295, j0)) / 4294967296 ⊦

Rule argument

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

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i ≤ j;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: 4294967296, i + band(4294967295, j) + band(4294967295, j0)