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Proof step 3 from proof fix-two-03 (previous step)

fix(2, bytes) = by ' + bytes0, by ∈ fix(2, bytes) ⊦ bytes0.butlast = []

User applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
fix(2, bytes) = by ' + bytes0, by ∈ fix(2, bytes) ⊦ bytes0 ≠ [], bytes0.butlast = []
Proof step 7:
bytes0 = bytes1 + by0 ' ∧ bytes0 ≠ [], fix(2, bytes) = by ' + bytes0, by ∈ fix(2, bytes) ⊦ bytes1 = []

Rule argument

seq: bytes ≠ [] ⊦ by = bytes.last ∧ bytes0 = bytes.butlast ↔ bytes = bytes0 + by ' subst: [bytes, by, bytes0] → [bytes0, by0, bytes1] rotate: T spec: list-last inst: bytelist name: last-elim

Additional information

Used simplifier rules: bytes ≠ [] ⊦ by = bytes.last ∧ bytes0 = bytes.butlast ↔ bytes = bytes0 + by '; (elim) Used terms: bytes0, by0, bytes1