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Proof step 82 from proof cast-help-comm (previous step)

lastn(i→n(i), int2bits(j)) ≠ [] ∧ (lastn(i→n(i), int2bits(j)).first ↔ lastn(i→n(i), int2bits(j)).first), i→n(i) ≤ # int2bits(j), i < i0, 0 < i, 0 < i0, 1 < i0, i ≤ i0 ⊦ i0 = 0, i = 0, bits2int(lastn(i→n(i), fillsgn(i→n(i0), int2bits(j)))) = bits2int(lastn(i→n(i), int2bits(j)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ lastn(n, bits) = [] ↔ n = 0;