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Proof step 16 from proof fix-butlast-longer (previous step)

fillsgn(n, bytes) = by ' + bytes0, # bytes < n, by ∈ fillsgn(n, bytes) ⊦ fillsgn(n, bytes) = [], bytes = [], # bytes = 1, (¬ 0 ≤ b2i(bytes.first) ⊃ i2b(~1);i2b(0)) = by

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
bytes = by0 + bytes1, fillsgn(n, bytes) = by ' + bytes0, # bytes < n, by ∈ fillsgn(n, bytes) ⊦ fillsgn(n, bytes) = [], bytes = [], # bytes = 1, (¬ 0 ≤ b2i(by0) ⊃ i2b(~1);i2b(0)) = by

Rule argument

seq: bytes ≠ [] ⊦ by = bytes.first ∧ bytes0 = bytes.rest ↔ bytes = by + bytes0 subst: [bytes, by, bytes0] → [bytes, by0, bytes1] 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, by0, bytes1