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Proof step 233 from proof bitsand-cast (previous step)

¬(¬ true ∈ mklist(false, m) ∧ (# mklist(false, m) ≤ # bits2 ∨ bits2.first) ∧ mklist(false, m) ≠ [] ∧ bits2 ≠ []), 2 + # bits1 = # bits, sgn(mklist(false, m) + false ' + true ' + bits1) = false ' + true ' + bits1, n0 + # bits = # fillsgn(n0 + # bits, mklist(false, m) + false ' + true ' + bits1), n0 + # bits = # fillsgn(n0 + # bits, bitsand(mklist(false, m), bits2) + bitsand(bits, false ' + true ' + bits1)), 2 + # bits1 + m < n0 + # bits ⊦ bits = [], m = 0, bits2 = [], bits2 + bits = [], mklist(false, n0) + bitsand(bits, false ' + true ' + bits1) = fillsgn(n0 + # bits, bitsand(mklist(false, m), bits2) + bitsand(bits, false ' + true ' + bits1))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 234:
n0 + # bits = # fillsgn(n0 + # bits, bitsand(mklist(false, m), bits2) + bitsand(bits, false ' + true ' + bits1)), n0 + # bits = # fillsgn(n0 + # bits, mklist(false, m) + false ' + true ' + bits1), sgn(mklist(false, m) + false ' + true ' + bits1) = false ' + true ' + bits1, 2 + # bits1 = # bits, # bits2 < m, 2 + # bits1 + m < n0 + # bits ⊦ mklist(false, n0) + bitsand(bits, false ' + true ' + bits1) = fillsgn(n0 + # bits, bitsand(mklist(false, m), bits2) + bitsand(bits, false ' + true ' + bits1)), bits2 + bits = [], bits2 = [], bits = [], bits2.first

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (forward)% ⊦ m < n → n ≠ 0;% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ # mklist(boolvar, n) = n;% ⊦ ¬ true ∈ mklist(false, n);% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;