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Proof step 65 from proof shiftzero-pos (previous step)

# int2bits(i) = i→n(j), 0 ≤ i ⊦ bits2int(firstn(n0 + i→n(j), mklist(false, i→n(j)) + mklist(false, n0) + int2bits(i))) = 0, j = 0, mklist(false, i→n(j)) + mklist(false, n0) = mklist(false, n0) + mklist(false, i→n(j)), n0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 66:
⊦ mklist(boolvar, m) + mklist(boolvar, n) = mklist(boolvar, m + n)
Proof step 67:
# int2bits(i) = i→n(j), 0 ≤ i ⊦ bits2int(firstn(n0 + i→n(j), mklist(false, i→n(j)) + mklist(false, n0) + int2bits(i))) = 0, j = 0, mklist(false, i→n(j) + n0) = mklist(false, n0) + mklist(false, i→n(j)), n0 = 0

Rule argument

seq: ⊦ mklist(boolvar, m) + mklist(boolvar, n) = mklist(boolvar, m + n) subst: [n, m, boolvar] → [n0, i→n(j), false] rotate: F spec: list-last inst: bitlista name: mklist-append

Additional information

Used terms: n0, i→n(j), false