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Proof step 51 from proof cast-help-comm (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

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