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Proof step 2 from proof longshiftzero-carry-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ j l>>> i = >>>(64, j, band(i, 63))
Proof step 4:
i ≤ 1, 1 < >>>(64, i + band(4294967295, j) + band(4294967295, j0), band(32, 63)), 0 < >>>(64, i + band(4294967295, j) + band(4294967295, j0), band(32, 63)), 0 ≤ i, i < >>>(64, i + band(4294967295, j) + band(4294967295, j0), band(32, 63)) ⊦

Rule argument

name: longshiftzero-def-unbounded rotate: F subst: [i, j] → [32, i + band(4294967295, j) + band(4294967295, j0)]

Additional information

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