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Proof step 4 from proof shiftzero-rec-neg-longer (previous step)

0 < j, 1 < j, i < 0, n < # int2bits(i), i < ~1 ⊦ >>>(n, i, j) = bits2int(sublist(0, # fillsgn(n, int2bits((i - 1) / 2)), mklist(false, i→n(j - 1)) + fillsgn(n, int2bits((i - 1) / 2))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ >>>(n, i, j) = bits2int(sublist(0, # fillsgn(n, int2bits(i)), mklist(false, i→n(j)) + fillsgn(n, int2bits(i))))
Proof step 6:
0 < j, 1 < j, i < 0, n < # int2bits(i), i < ~1 ⊦ bits2int(sublist(0, # fillsgn(n, int2bits(i)), mklist(false, i→n(j)) + fillsgn(n, int2bits(i)))) = bits2int(sublist(0, # fillsgn(n, int2bits((i - 1) / 2)), mklist(false, i→n(j - 1)) + fillsgn(n, int2bits((i - 1) / 2))))

Rule argument

name: shiftrzero-def-01 rotate: F subst: [j, i, n] → [j, i, n]

Additional information

Used terms: j, i, n