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Proof step 2 from proof longshiftzero-carry (previous step)

0 ≤ i, (i + band(4294967295, j) + band(4294967295, j0)) l>>> 32 < 0, i ≤ 1 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ i → ¬ i l>>> j < 0
Proof step 4:
¬ 0 ≤ i + band(4294967295, j) + band(4294967295, j0), 0 ≤ i, (i + band(4294967295, j) + band(4294967295, j0)) l>>> 32 < 0, i ≤ 1 ⊦

Rule argument

name: longshiftzero-not-neg rotate: F subst: [j, i] → [32, i + band(4294967295, j) + band(4294967295, j0)]

Additional information

Used terms: 32, i + band(4294967295, j) + band(4294967295, j0)