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Proof step 214 from proof bitsand-cast (previous step)

¬(¬ mklist(false, m).first ∧ # mklist(false, m) ≤ # bits2 ∧ mklist(false, m) ≠ []), sgn(mklist(false, m) + false ' + true ' + bits1) = false ' + true ' + bits1, n = # fillsgn(n, mklist(false, m) + false ' + true ' + bits1), n = # fillsgn(n, bitsand(bits, false ' + true ' + bits1)), 2 + # bits1 + m < n, n < (2 + # bits1) + # bitsand(bits2, mklist(false, m)), m + 1 < # bitsand(bits2, mklist(false, m)), m < # bitsand(bits2, mklist(false, m)) ⊦ bits2 = [], n = # fillsgn(n, bitsand(bits2, mklist(false, m)) + bitsand(bits, false ' + true ' + bits1)), bits = [], m = 0, bits2 + bits = [], fillsgn(n, bitsand(bits, false ' + true ' + bits1)) = lastn(n, fillsgn(n, bitsand(bits2, mklist(false, m)) + bitsand(bits, false ' + true ' + bits1))), bitsand(bits2, mklist(false, m)) = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 215:
n = # fillsgn(n, bitsand(bits, false ' + true ' + bits1)), n = # fillsgn(n, mklist(false, m) + false ' + true ' + bits1), sgn(mklist(false, m) + false ' + true ' + bits1) = false ' + true ' + bits1, # bits2 < # bitsand(bits2, mklist(false, m)), # bits2 < m, m < # bitsand(bits2, mklist(false, m)), m + 1 < # bitsand(bits2, mklist(false, m)), n < (2 + # bits1) + # bitsand(bits2, mklist(false, m)), 2 + # bits1 + m < n, # bits2 + 1 < # bitsand(bits2, mklist(false, m)) ⊦ bitsand(bits2, mklist(false, m)) = [], fillsgn(n, bitsand(bits, false ' + true ' + bits1)) = lastn(n, fillsgn(n, bitsand(bits2, mklist(false, m)) + bitsand(bits, false ' + true ' + bits1))), bits2 + bits = [], bits = [], n = # fillsgn(n, bitsand(bits2, mklist(false, m)) + bitsand(bits, false ' + true ' + bits1)), bits2 = []

Rule argument

Additional information

Used simplifier rules: ⊦ m +1 = m + 1;% ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward)% ⊦ m < n → n ≠ 0; (forward)% ⊦ n < n0 ∧ n0 < n1 → n +1 < n1; (forward)% ⊦ m < n → n ≠ 0;% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ # mklist(boolvar, n) = n;% ⊦ m ≠ 0 → (mklist(boolvar, m).first ↔ boolvar);