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Proof step 41 from proof rightshift-8-02 (previous step)

int2bytes(i) = by ', i < 0, i < ~128 ⊦ i >> 8 = ~1, ¬ ~256 ≤ i ∧ i % 256 ≠ 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 42:
⊦ i < ~256 ∧ i % 256 = 0 → int2bytes(i) = int2bytes(i / 256) + int2bytes(i % 256).last '
Proof step 43:
¬(i < ~256 ∧ i % 256 = 0), int2bytes(i) = by ', i < 0, i < ~128 ⊦ i >> 8 = ~1, ¬ ~256 ≤ i ∧ i % 256 ≠ 0

Rule argument

name: int2bytes-rec-neg-256 rotate: F subst: [i] → [i]

Additional information

Used simplifier rules: int2bytes-last-01: ⊦ int2bytes(i).last = i2b(i);%int2bytes-empty: ⊦ int2bytes(i) ≠ [];% ⊦ by ' = bytes + by0 ' ↔ by = by0 ∧ bytes = [];% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1; Used terms: i