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Proof step 7 from proof bytes2int-1011x (previous step)

~1 = 2 ^ (8 * (n→i(m) + 1) - 1) + bytes2int(i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m)) ⊦ ~1 = bytes2int(i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m + 1)) + 2 ^ (8 * (2 + n→i(m)) - 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ n ≠ 0 → mklist(by, n) = mklist(by, n -1) + by '
Proof step 9:
m + 1 ≠ 0, ~1 = 2 ^ (8 * (n→i(m) + 1) - 1) + bytes2int(i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m)) ⊦ ~1 = bytes2int(i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), (m + 1)-1) + i2b(~1) ') + 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(~1)] 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(~1)