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Proof step 15 from proof bits2bytes-mklist-01 (previous step)

n0 < 8 ⊦ bits2bytes(mklist(false, n0)) + bits2bytes(mklist(false, m * 8)) = i2b(0) ' + mklist(i2b(0), m), n0 = 0, m = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ # bits ≤ 8 → bits2bytes(bits) = i2b(bits2int(bits)) '
Proof step 17:
# mklist(false, n0) ≤ 8, n0 < 8 ⊦ i2b(bits2int(mklist(false, n0))) ' + bits2bytes(mklist(false, m * 8)) = i2b(0) ' + mklist(i2b(0), m), n0 = 0, m = 0

Rule argument

name: bits2bytes-base rotate: F subst: [bits] → [mklist(false, n0)]

Additional information

Used simplifier rules: ⊦ # mklist(boolvar, n) = n;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m; Used terms: mklist(false, n0)