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Proof step 14 from proof bits2bytes-mklist-03 (previous step)

8 < n ⊦ n % 8 = 0, bits2bytes(firstn(n % 8, mklist(true, n))) + bits2bytes(restn(n % 8, mklist(true, n))) = i2b(~1) ' + mklist(i2b(~1), n / 8)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ m ≤ n → restn(m, mklist(boolvar, n)) = mklist(boolvar, n - m)
Proof step 16:
n % 8 ≤ n, 8 < n ⊦ n % 8 = 0, bits2bytes(firstn(n % 8, mklist(true, n))) + bits2bytes(mklist(true, n - n % 8)) = i2b(~1) ' + mklist(i2b(~1), n / 8)

Rule argument

seq: ⊦ m ≤ n → restn(m, mklist(boolvar, n)) = mklist(boolvar, n - m) subst: [n, boolvar, m] → [n, true, n % 8] rotate: F spec: list-del inst: bitlista name: rest-mklist

Additional information

Used simplifier rules: n ≠ 0 ⊦ m % n ≤ m; Used terms: n, true, n % 8