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Proof step 14 from proof shiftright-rec-neg (previous step)

⊦ j = 0, bits2int(sublist(0, 1, mklist(true, i→n(j)) + true ')) = bits2int(sublist(0, 1, mklist(true, i→n(abs(j) - 1)) + true '))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ sublist((* m), (* n), bits) = firstn(n, restn(m, bits))
Proof step 16:
⊦ j = 0, bits2int(sublist(0, 1, mklist(true, i→n(j)) + true ')) = bits2int(firstn(1, restn(0, mklist(true, i→n(abs(j) - 1)) + true ')))

Rule argument

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

Additional information

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