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Proof step 36 from proof rightshift-8-02 (previous step)

int2bytes(i) = int2bytes(i).first ', i < 0, i < ~128 ⊦ i >> 8 = bytes2int(i2b(~1) ' + int2bytes(i).butlast)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 37:
int2bytes(i) = by + bytes ∧ int2bytes(i) ≠ [], int2bytes(i) = by ', i < 0, i < ~128 ⊦ i >> 8 = bytes2int(i2b(~1) ' + int2bytes(i).butlast)

Rule argument

seq: ⊦ bytes ≠ [] → (by = bytes.first ∧ bytes0 = bytes.rest ↔ bytes = by + bytes0) subst: [bytes, by, bytes0] → [int2bytes(i), by, bytes] rotate: T spec: list-data inst: bytelist name: elim-1

Additional information

Used simplifier rules: int2bytes-empty: ⊦ int2bytes(i) ≠ [];%⊦ bytes ≠ [] → (by = bytes.first ∧ bytes0 = bytes.rest ↔ bytes = by + bytes0); (elim) Used terms: int2bytes(i), by, bytes