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Proof step 10 from proof fix-rec-pos (previous step)

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

User applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
bytes = by + bytes0, 0 ≤ b2i(by), # bytes < n, 0 ≤ bytes2int(bytes) ⊦ mklist(i2b(0), n - # bytes) + bytes = i2b(0) ' + fix(n - 1, 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-1

Additional information

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