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Proof step 65 from proof shiftright-rec-pos (previous step)

0 ≤ i, 0 ≤ i0, 1 < i, 0 < i ⊦ bits2int ((mklist(false, i→n(i0)) + false ').first ' + firstn(# int2bits(i / 2), (mklist(false, i→n(i0)) + false ' + int2bits(i / 2) + (i % 2 = 1)').rest)) = bits2int(firstn(# int2bits(i / 2), mklist(false, i→n(i0)) + int2bits(i / 2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 66:
⊦ mklist(boolvar, n) + boolvar ' = mklist(boolvar, n + 1)
Proof step 67:
0 ≤ i, 0 ≤ i0, 1 < i, 0 < i ⊦ bits2int(mklist(false, i→n(i0) + 1).first ' + firstn(# int2bits(i / 2), (mklist(false, i→n(i0)) + false ' + int2bits(i / 2) + (i % 2 = 1)').rest)) = bits2int(firstn(# int2bits(i / 2), mklist(false, i→n(i0)) + int2bits(i / 2)))

Rule argument

seq: ⊦ mklist(boolvar, n) + boolvar ' = mklist(boolvar, n + 1) subst: [n, boolvar] → [i→n(i0), false] rotate: F spec: list-last inst: bitlista name: mklist-last

Additional information

Used terms: i→n(i0), false