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Proof step 37 from proof byte-law-neg (previous step)

0 < i, 0 ≤ i, 127 < i ⊦ i2b(~ i) = i2b(~ b2i(i2b(i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 38:
⊦ 0 ≤ i ∧ 127 < i % 256 → b2i(i2b(i)) = i % 256 - 256
Proof step 39:
¬(0 ≤ i ∧ 127 < i % 256), 0 < i, 0 ≤ i, 127 < i ⊦ i2b(~ i) = i2b(~ b2i(i2b(i)))
Proof step 46:
0 ≤ i ∧ 127 < i % 256, 0 < i, 0 ≤ i, 127 < i ⊦ i2b(~ i) = i2b(~(i % 256 - 256))

Rule argument

name: bib-pos-high rotate: F subst: [i] → [i]

Additional information

Used terms: i