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Proof step 40 from proof int2bytes-rec255-neg (previous step)

2 = # int2bytes(i % 256), i < ~128, i < 0 ⊦ int2bytes(i % 256).rest = int2bytes(i % 256).last '

User applied rule insert elim lemma

And obtained the following new goals

Proof step 41:
int2bytes(i % 256) = by + bytes ∧ int2bytes(i % 256) ≠ [], 2 = # int2bytes(i % 256), i < ~128, i < 0 ⊦ bytes = int2bytes(i % 256).last '

Rule argument

seq: ⊦ bytes ≠ [] → (by = bytes.first ∧ bytes0 = bytes.rest ↔ bytes = by + bytes0) subst: [bytes, by, bytes0] → [int2bytes(i % 256), 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 % 256), by, bytes