| bits ≠ [] ∧ false ' = false ', ∀ bits, bits1. # bits1 < # false ' → true → bits = [] ∨ bits1 = [] ∨ bits2int(bitsxor(bits, bits1)) = bits2int(bitsor(bitsand(bitsinvert(bits), bits1), bitsand(bitsinvert(bits1), bits))) ⊦ bits = [], bits2int(bits) = bits2int(bitsor(false ', bits)) |
∀ bits, bits1. # bits1 < # false ' → true → bits = [] ∨ bits1 = [] ∨ bits2int(bitsxor(bits, bits1)) = bits2int(bitsor(bitsand(bitsinvert(bits), bits1), bitsand(bitsinvert(bits1), bits))) ⊦ bits2int(bits) = bits2int(bitsor(false ', bits)), bits = []