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Proof step 17 from proof byte-law-neg (previous step)

~128 ≤ i % 256, i < ~128, i < 0, i < i % 256 ⊦ i2b(~ i) = i2b(~(i % 256))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ i2b(i) = i2b(j) ↔ b2i(i2b(i)) = b2i(i2b(j))
Proof step 19:
~128 ≤ i % 256, i < ~128, i < 0, i < i % 256 ⊦ b2i(i2b(~ i)) = b2i(i2b(~(i % 256)))

Rule argument

name: i2b-equal rotate: F subst: [j, i] → [~(i % 256), ~ i]

Additional information

Used terms: ~(i % 256), ~ i