| ∀ bits0, bits, bits2. # bits2 < # bits1 → true → bitsand(bits + true ' + bits0, false ' + bits2) = bitsand(true ' + bits0, false ' + bits2) ∨ false ∈ bits ⊦ bits0 ≠ [], bitsand(bits + true ' + bits0, false ' + bits1) = bitsand(true ' + bits0, false ' + bits1), false ∈ bits, bits0 ≠ [] ∧ bits1 ≠ [] |
∀ bits0, bits, bits2. # bits2 < # bits1 → true → bitsand(bits + true ' + bits0, false ' + bits2) = bitsand(true ' + bits0, false ' + bits2) ∨ false ∈ bits ⊦ bitsand(bits + true ', false ' + bits1) = false ' + bits1, false ∈ bits
Used simplifier rules: and-onel-02: ⊦ bitsand(true ', boolvar ' + bits) = boolvar ' + bits;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits + [] = bits;