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Proof step 654 from proof bitsand-cast (previous step)

false ' + true ' + bits ≠ [] ∧ bits1 ≠ [], # bits1 = 2 + # bits, # bits1 < # bitsand(bits1, false ' + true ' + bits), # bits1 ≤ # bits2 + # bitsand(bits1, false ' + true ' + bits), # bits3 ≤ m, bits3.first ⊦ m = 0, bits3 = [], mklist(false, m) + bitsand(bits1, false ' + true ' + bits) = lastn(2 + # bits + m, mklist(false, m) + bitsand(bits1, false ' + true ' + bits)), bits1 = [], bits2 + mklist(false, m) = [], bits3 + bits1 = [], # bits1 = # bitsand(bits1, false ' + true ' + bits)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 655:
# bits1 = 2 + # bits, bits3.first, # bits3 ≤ m, # bits1 ≤ # bits2 + # bitsand(bits1, false ' + true ' + bits), # bits1 < # bitsand(bits1, false ' + true ' + bits) ⊦ bits1 = [], # bits1 = # bitsand(bits1, false ' + true ' + bits), bits3 + bits1 = [], bits2 + mklist(false, m) = [], mklist(false, m) + bitsand(bits1, false ' + true ' + bits) = lastn(2 + # bits + m, mklist(false, m) + bitsand(bits1, false ' + true ' + bits)), bits3 = [], m = 0

Rule argument

Additional information

Used simplifier rules: and-notempty-01: ⊦ bits ≠ [] → bitsand(bits, boolvar ' + bits0) ≠ [];% ⊦ # bits = 0 ↔ bits = [];% ⊦ m < n → n ≠ 0; (forward)% ⊦ m < n ∧ m = n0 → n0 < n; (forward)% ⊦ m + n = n + m;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' + bits ≠ [];