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Proof step 24 from proof long-shiftzero-in (previous step)

¬ l2i(lo) < ~1, 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 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
l2i(lo) = ~1, 0 < >>>(64, ~1, band(j, 63)), 9223372036854775807 < >>>(64, ~1, band(j, 63)), 64 < # int2bits(~1), 0 < band(j, 63) ⊦

Rule argument

Additional information

Used simplifier rules: i0 ≠ 0, i0 < i ⊦ (* i) < j → (* i0) < j;% ⊦ int2bits(j) ≠ [];% ⊦ # bits = 0 ↔ bits = [];% ⊦ m < n → n ≠ 0; (forward)% ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < 0 → (~1 ≤ i ↔ i = ~1);% ⊦ ¬ i < j ↔ j ≤ i;