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Proof step 27 from proof cast-help-comm (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n;% ⊦ int2bits(j) ≠ [];% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ int2bits(j).first ↔ j < 0;