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Proof step 35 from proof shiftright-rec-neg (previous step)

i < ~1, i < 0 ⊦ j = 0, bits2int(sublist(0, # int2bits((i - 1) / 2) + 1, mklist(true, i→n(j)) + int2bits((i - 1) / 2) + int2bits(i % 2))) = bits2int(sublist(0, # int2bits((i - 1) / 2), mklist(true, i→n(abs(j) - 1)) + int2bits((i - 1) / 2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 36:
⊦ sublist((* m), (* n), bits) = firstn(n, restn(m, bits))
Proof step 37:
i < ~1, i < 0 ⊦ j = 0, bits2int(sublist(0, # int2bits((i - 1) / 2) + 1, mklist(true, i→n(j)) + int2bits((i - 1) / 2) + int2bits(i % 2))) = bits2int(firstn(# int2bits((i - 1) / 2), restn(0, mklist(true, i→n(abs(j) - 1)) + int2bits((i - 1) / 2))))

Rule argument

seq: ⊦ sublist((* m), (* n), bits) = firstn(n, restn(m, bits)) subst: [bits, n, m] → [mklist(true, i→n(abs(j) - 1)) + int2bits((i - 1) / 2), # int2bits((i - 1) / 2), 0] rotate: F spec: list-del inst: bitlista name: sublist-num

Additional information

Used terms: mklist(true, i→n(abs(j) - 1)) + int2bits((i - 1) / 2), # int2bits((i - 1) / 2), 0