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Proof step 12 from proof shiftzero-not-neg (previous step)

firstn(# fillsgn(n, int2bits(i)), restn(0, mklist(false, i→n(j)) + fillsgn(n, int2bits(i)))).first, i < 0 ⊦ j = 0, fillsgn(n, int2bits(i)) = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
i < 0, firstn(# fillsgn(n, int2bits(i)), mklist(false, i→n(j)) + fillsgn(n, int2bits(i))).first ⊦ j = 0, fillsgn(n, int2bits(i)) = []

Rule argument

Additional information

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