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Proof step 6 from proof bytes2int-100x (previous step)

bytes2int(i2b(0) ' + i2b(~128) ' + mklist(i2b(0), m)) = 2 ^ (8 * (1 + n→i(m)) - 1) ⊦ bytes2int(i2b(0) ' + i2b(~128) ' + mklist(i2b(0), m + 1)) = 2 ^ (8 * (2 + n→i(m)) - 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ n ≠ 0 → mklist(by, n) = mklist(by, n -1) + by '
Proof step 8:
m + 1 ≠ 0, bytes2int(i2b(0) ' + i2b(~128) ' + mklist(i2b(0), m)) = 2 ^ (8 * (1 + n→i(m)) - 1) ⊦ bytes2int(i2b(0) ' + i2b(~128) ' + mklist(i2b(0), (m + 1)-1) + i2b(0) ') = 2 ^ (8 * (2 + n→i(m)) - 1)

Rule argument

seq: ⊦ n ≠ 0 → mklist(by, n) = mklist(by, n -1) + by ' subst: [n, by] → [m + 1, i2b(0)] rotate: F spec: list-last inst: bytelist name: mk-last-02

Additional information

Used simplifier rules: ⊦ m + 1 ≠ 0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: m + 1, i2b(0)