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Proof step 7 from proof shiftzero-by-one (previous step)

i < ~1, i < 0 ⊦ n = 0, bits2int(firstn(# fillsgn(n, int2bits(i)), restn(0, false ' + fillsgn(n, int2bits(i))))) = bits2uint(fillsgn(n - 1, int2bits((i - 1) / 2)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
i < ~1, i < 0 ⊦ n = 0, bits2int(firstn(# fillsgn(n, int2bits(i)), false ' + fillsgn(n, int2bits(i)))) = bits2uint(fillsgn(n - 1, int2bits((i - 1) / 2)))

Rule argument

Additional information

Used simplifier rules: ⊦ restn(0, bits) = bits;