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Proof step 785 from proof bitsand-cast (previous step)

sgn(mklist(false, # bits0) + false ' + true ' + bits) = false ' + true ' + bits, 2 + # bits = # bits1, # bits1 = # bitsand(bits1, false ' + true ' + bits), # bitsand(bits2, bits4) + # bitsand(mklist(false, # bits0), bits0) + # bitsand(false ' + true ' + bits, bits1) < 2 + # bits + # bits0 ⊦ bits0 = [], (bits4 + bits0) + bits1 = [], bits4 + bits0 = [], bits2 + mklist(false, # bits0) = [], bits1 = [], mklist(false, # bits0) + bitsand(bits1, false ' + true ' + bits) = lastn (2 + # bits + # bits0, fillsgn(2 + # bits + # bits0, (bitsand(bits2, bits4) + bitsand(mklist(false, # bits0), bits0)) + bitsand(false ' + true ' + bits, bits1))), bits2 = [], bits4 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: and-com rotate: F subst: [bits0, bits] → [bits1, false ' + true ' + bits]

Additional information

Used simplifier rules: ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m;% ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];% ⊦ boolvar ' ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: bits1, false ' + true ' + bits