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Proof step 15 from proof long-shiftzero-in (previous step)

l2i(lo) < 0, 0 < >>>(64, l2i(lo), band(j, 63)), 9223372036854775807 < >>>(64, l2i(lo), band(j, 63)) ⊦

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 16:
⊦ i < 0 ∧ # int2bits(i) ≤ n ∧ 0 < j ∧ n ≠ 0 → >>>(n, i, j) < 2 ^ (n→i(n) - 1)
Proof step 17:
l2i(lo) < 0 ∧ # int2bits(l2i(lo)) ≤ 64 ∧ 0 < band(j, 63) ∧ 64 ≠ 0 → >>>(64, l2i(lo), band(j, 63)) < 2 ^ (n→i(64) - 1), l2i(lo) < 0, 0 < >>>(64, l2i(lo), band(j, 63)), 9223372036854775807 < >>>(64, l2i(lo), band(j, 63)) ⊦

Rule argument

seq: ⊦ i < 0 ∧ # int2bits(i) ≤ n ∧ 0 < j ∧ n ≠ 0 → >>>(n, i, j) < 2 ^ (n→i(n) - 1) subst: [i, n, j] → [l2i(lo), 64, band(j, 63)] rotate: F spec: intops inst: name: shiftzero-max-neg

Additional information

Used terms: l2i(lo), 64, band(j, 63)