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Proof step 848 from proof bitsand-cast (previous step)

sgn(mklist(boolvar, m) + boolvar ' + boolvar0 ' + bits) = boolvar ' + boolvar0 ' + bits, bits0.first, # bits0 ≤ 2 + # bits, # bits0 ≤ (2 + # bits) + # bits2 ⊦ boolvar ↔ boolvar0, lastn(2 + # bits + m, fillsgn(2 + # bits + m, bitsand(boolvar ' + boolvar0 ' + bits, bits0))) = lastn(2 + # bits + m, bits2 + mklist(boolvar, m) + bitsand(boolvar ' + boolvar0 ' + bits, bits0)), bits0 = [], boolvar ∧ boolvar0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ n ≤ # bits → lastn(n, bits0 + bits) = lastn(n, bits) subst: [bits, bits0, n] → [ mklist(boolvar, m) + bitsand(boolvar ' + boolvar0 ' + bits, bits0), bits2, 2 + # bits + m] rotate: F spec: list-del inst: bitlista name: lastN-append-01

Additional information

Used simplifier rules: ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: mklist(boolvar, m) + bitsand(boolvar ' + boolvar0 ' + bits, bits0), bits2, 2 + # bits + m