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Proof step 22 from proof long-shiftzero-in (previous step)

0 < band(j, 63), 64 < # int2bits(l2i(lo)), 9223372036854775807 < >>>(64, l2i(lo), band(j, 63)), 0 < >>>(64, l2i(lo), band(j, 63)), l2i(lo) < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i < ~1 → (m < # int2bits(i) ↔ ¬ 0 ≤ i + 2 ^ (n→i(m) - 1)) subst: [i, m] → [l2i(lo), 64] rotate: F spec: int2bits inst: name: int2bits-lslen-05

Additional information

Used simplifier rules: long-min: ⊦ ¬ l2i(lo) < ~9223372036854775808;% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used terms: l2i(lo), 64