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Proof step 38 from proof bytes2bytes-fix (previous step)

b2i(by) = ~1, b2i(bytes1.first) < 0, ∀ bytes0. # bytes0 < #(by + bytes1) → true → bytes0 = [] ∨ fix(# bytes0, int2bytes(bytes2int(bytes0))) = bytes0 ⊦ fix(1 + # bytes1, int2bytes(bytes2int(by ' + bytes1))) = by ' + bytes1, bytes1 = []

User applied rule insert elim lemma

And obtained the following new goals

Rule argument

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