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Proof step 20 from proof cast-b2i-01 (previous step)

2 ^ i0 + b2i(by) < 0, 0 ≤ i0, 0 < i0, 7 ≤ i0 ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ 128 ≤ i → ¬ i + b2i(by) < 0
Proof step 22:
¬ 128 ≤ 2 ^ i0, 2 ^ i0 + b2i(by) < 0, 0 ≤ i0, 0 < i0, 7 ≤ i0 ⊦ ~1 = i0, cast(i0 + 1, b2i(by)) = b2i(by)

Rule argument

name: byte-nls-02 rotate: F subst: [by, i] → [by, 2 ^ i0]

Additional information

Used terms: by, 2 ^ i0