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Proof step 19 from proof long-shiftzero-in (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 20:
band(j, 63) ≤ 0, l2i(lo) < 0, 0 < >>>(64, l2i(lo), band(j, 63)), 9223372036854775807 < >>>(64, l2i(lo), band(j, 63)) ⊦ ¬ 64 < # int2bits(l2i(lo)) ∧ ¬ band(j, 63) ≤ 0
Proof step 21:
l2i(lo) < 0, 0 < >>>(64, l2i(lo), band(j, 63)), 9223372036854775807 < >>>(64, l2i(lo), band(j, 63)) ⊦ band(j, 63) ≤ 0, ¬ 64 < # int2bits(l2i(lo)) ∧ ¬ band(j, 63) ≤ 0

Rule argument

fma: band(j, 63) ≤ 0

Additional information

Used formulas: band(j, 63) ≤ 0