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Proof step 11 from proof int2bytes-rec255-neg (previous step)

# int2bytes(i % 256) < 2, i < 0, i < ~128, i % 256 < 0 ⊦ (mklist(i2b(~1), 2 - # int2bytes(i % 256)) + int2bytes(i % 256)).rest = int2bytes(i % 256).last '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ ~256 ≤ i ∧ i < ~128 → # int2bytes(i) = 2
Proof step 13:
¬(~256 ≤ i % 256 ∧ i % 256 < ~128), # int2bytes(i % 256) < 2, i < 0, i < ~128, i % 256 < 0 ⊦ (mklist(i2b(~1), 2 - # int2bytes(i % 256)) + int2bytes(i % 256)).rest = int2bytes(i % 256).last '

Rule argument

name: int2bytes-len-neg256 rotate: F subst: [i] → [i % 256]

Additional information

Used simplifier rules: ⊦ mklist(by, 0) = [];% ⊦ [] + bytes = bytes;% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1; Used terms: i % 256