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Proof step 215 from proof bitsand-cast (previous step)

n = # fillsgn(n, bitsand(bits, false ' + true ' + bits1)), n = # fillsgn(n, mklist(false, m) + false ' + true ' + bits1), sgn(mklist(false, m) + false ' + true ' + bits1) = false ' + true ' + bits1, # bits2 < # bitsand(bits2, mklist(false, m)), # bits2 < m, m < # bitsand(bits2, mklist(false, m)), m + 1 < # bitsand(bits2, mklist(false, m)), n < (2 + # bits1) + # bitsand(bits2, mklist(false, m)), 2 + # bits1 + m < n, # bits2 + 1 < # bitsand(bits2, mklist(false, m)) ⊦ bitsand(bits2, mklist(false, m)) = [], fillsgn(n, bitsand(bits, false ' + true ' + bits1)) = lastn(n, fillsgn(n, bitsand(bits2, mklist(false, m)) + bitsand(bits, false ' + true ' + bits1))), bits2 + bits = [], bits = [], n = # fillsgn(n, bitsand(bits2, mklist(false, m)) + bitsand(bits, false ' + true ' + bits1)), bits2 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: and-com rotate: F subst: [bits0, bits] → [mklist(false, m), bits2]

Additional information

Used simplifier rules: ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ m < n → n ≠ 0; Used terms: mklist(false, m), bits2