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Proof step 31 from proof fillsgn-rec (previous step)

bytes2int(bytes) < 0 ⊦ bytes = [], mklist(i2b(~1), n + 1) + bytes = (¬ 0 ≤ b2i(bytes.first) ⊃ i2b(~1);i2b(0)) ' + fillsgn(n + # bytes, bytes)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 32:
bytes = by + bytes0, bytes2int(bytes) < 0 ⊦ bytes = [], mklist(i2b(~1), n + 1) + bytes = (¬ 0 ≤ b2i(by) ⊃ i2b(~1);i2b(0)) ' + fillsgn(n + # bytes, 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-list-c

Additional information

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