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Proof step 2 from proof byte-011x-unsgn (previous step)

i < 256, 0 ≤ i ⊦ band(255, b2i(i2b(i))) = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ b2i(by) → band(b2i(by), 255) = b2i(by)
Proof step 4:
¬ 0 ≤ b2i(i2b(i)), i < 256, 0 ≤ i ⊦ band(255, b2i(i2b(i))) = i
Proof step 7:
0 ≤ b2i(i2b(i)), i < 256, 0 ≤ i ⊦ b2i(i2b(i)) = i

Rule argument

name: byte-011x-pos rotate: F subst: [by] → [i2b(i)]

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i); Used terms: i2b(i)