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Proof step 10 from proof bytes2int-1011x (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ bytes ≠ [] → bytes2int(bytes + by ') = bytes2int(bytes) * 256 + band(b2i(by), 255)
Proof step 12:
i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m) ≠ [], ~1 = 2 ^ (8 * (n→i(m) + 1) - 1) + bytes2int(i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m)) ⊦ ~1 = 2 ^ (8 * (2 + n→i(m)) - 1) + bytes2int(i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m)) * 256 + band(b2i(i2b(~1)), 255)

Rule argument

name: bytes2int-rec rotate: F subst: [by, bytes] → [i2b(~1), i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m)]

Additional information

Used simplifier rules: ⊦ ¬ bytes + bytes0 ≠ [] ↔ bytes = [] ∧ bytes0 = [];% ⊦ by ' ≠ [];% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1; Used terms: i2b(~1), i2b(~1) ' + i2b(127) ' + mklist(i2b(~1), m)