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Proof step 2 from proof shiftzero-by-one (previous step)

i < ~1, i < 0 ⊦ n = 0, >>>(n, i, 1) = bits2uint(fillsgn(n - 1, int2bits((i - 1) / 2)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ >>>(n, i, j) = bits2int(sublist(0, # fillsgn(n, int2bits(i)), mklist(false, i→n(j)) + fillsgn(n, int2bits(i))))
Proof step 4:
i < ~1, i < 0 ⊦ n = 0, bits2int(sublist(0, # fillsgn(n, int2bits(i)), mklist(false, i→n(1)) + fillsgn(n, int2bits(i)))) = bits2uint(fillsgn(n - 1, int2bits((i - 1) / 2)))

Rule argument

name: shiftrzero-def-01 rotate: F subst: [j, i, n] → [1, i, n]

Additional information

Used terms: 1, i, n