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Proof step 117 from proof bitsand-cast (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 118:
# bits = 2 + # bits1, n = # fillsgn(n, mklist(true, m) + true ' + false ' + bits1), sgn(mklist(true, m) + true ' + false ' + bits1) = true ' + false ' + bits1, # bits2 < m, 2 + # bits1 + m < n ⊦ bits2 = [], bits = [], bits2 + bits = [], lastn(n, fillsgn(n, bits2 + bitsand(bits, true ' + false ' + bits1))) = lastn(n, fillsgn(n, bitsand(mklist(true, m), bits2) + bitsand(bits, true ' + false ' + bits1)))

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;% ⊦ ¬ false ∈ mklist(true, n);