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Proof step 28 from proof shiftzero-pos (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ m ≤ n → firstn(m, mklist(boolvar, n)) = mklist(boolvar, m)
Proof step 30:
# int2bits(i) ≤ i→n(j), # int2bits(i) < i→n(j), 0 ≤ i, # int2bits(i) < n ⊦ bits2int(firstn(n, mklist(false, i→n(j)) + mklist(false, n - # int2bits(i)) + int2bits(i))) = bits2int(mklist(false, # int2bits(i))), j = 0

Rule argument

seq: ⊦ m ≤ n → firstn(m, mklist(boolvar, n)) = mklist(boolvar, m) subst: [n, boolvar, m] → [i→n(j), false, # int2bits(i)] rotate: F spec: list-del inst: bitlista name: first-mklist

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m; Used terms: i→n(j), false, # int2bits(i)