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Proof step 7 from proof shiftzero-minus-one (previous step)

⊦ j = 0, n = 0, bits2int(sublist(0, # fillsgn(n, int2bits(~1)), mklist(false, i→n(j)) + fillsgn(n, int2bits(~1)))) = bits2int(sublist(0, 1 + n, mklist(false, i→n(j)) + false ' + mklist(true, n)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ sublist(m, n, bits) = firstn(n, restn(m, bits))
Proof step 9:
⊦ j = 0, n = 0, bits2int(sublist(0, # fillsgn(n, int2bits(~1)), mklist(false, i→n(j)) + fillsgn(n, int2bits(~1)))) = bits2int(firstn(1 + n, restn(0, mklist(false, i→n(j)) + false ' + mklist(true, n))))

Rule argument

seq: ⊦ sublist(m, n, bits) = firstn(n, restn(m, bits)) subst: [bits, n, m] → [mklist(false, i→n(j)) + false ' + mklist(true, n), 1 + n, 0] rotate: F spec: list-del inst: bitlista name: sublist-def

Additional information

Used terms: mklist(false, i→n(j)) + false ' + mklist(true, n), 1 + n, 0