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Proof step 42 from proof shiftzero-pos (previous step)

# mklist(false, i→n(j)) ≤ # int2bits(i), # int2bits(i) < n, 0 ≤ i ⊦ bits2int(firstn(n, mklist(false, i→n(j)) + mklist(false, n - # int2bits(i)) + int2bits(i))) = bits2int(mklist(false, i→n(j)) + firstn(# int2bits(i) - # mklist(false, i→n(j)), int2bits(i)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
# 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)))

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward)% ⊦ # mklist(boolvar, n) = n;