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Proof step 12 from proof cast-law-absorption (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

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