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Proof step 45 from proof shiftzero-pos (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ n → (n - m = 0 ↔ n = m);% ⊦ firstn(n, bits) = [] ↔ n = 0;