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Proof step 62 from proof bor-2pot-plus (previous step)

int2bits(j0) = false ' + bitsinvert(bits), 0 < j, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, 0 < 2 ^ i, 0 ≤ j, false ∈ int2bits(j0), # int2bits(j0) ≤ i→n(i) ⊦ fillsgn(i→n(i), bitsinvert(int2bits(j0))) = [], bitsinvert(uint2bits(j)) + mklist(true, i→n(i)) = [], bits2uint(fillsgn(i→n(i), int2bits(j0))) + 2 ^ n→i(# fillsgn(i→n(i), bitsinvert(int2bits(j0)))) * j = j * 2 ^ i + j0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ j → bits2uint(fillsgn(n, int2bits(j))) = j subst: [j, n] → [j0, i→n(i)] rotate: F spec: int2bits inst: name: int2uint-fill

Additional information

Used terms: j0, i→n(i)