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Proof step 15 from proof cast-help-comm (previous step)

i→n(i) ≤ # lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j))), i < i0, 0 < i, 0 < i0, 1 < i0 ⊦ bits2int(lastn(i→n(i), lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j))))) = bits2int(lastn(i→n(i0), fillsgn(i→n(i0), sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))))), i0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ 1 < i → abs(i) = i;% ⊦ 0 < j → abs(j) = j;% ⊦ i→n(i) ≤ i→n(j) ↔ abs(i) ≤ abs(j);% ⊦ # lastn(n, bits) = n;