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Proof step 5 from proof fix-rec-pos (previous step)

bytes2int(bytes) < 0, # bytes < n, 0 ≤ b2i(bytes.first) ⊦ bytes = [], fix(n, bytes) = i2b(0) ' + fix(n - 1, bytes)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
bytes = by + bytes0, bytes2int(bytes) < 0, # bytes < n, 0 ≤ b2i(by) ⊦ bytes = [], fix(n, bytes) = i2b(0) ' + fix(n - 1, bytes)

Rule argument

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

Additional information

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