PROOF.p_slice_append_add: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 1214-1215 of bend-osdev-bytes@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&start_line=1214&end_line=1215

import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B

def p_slice_append_add(+a: B.Octets, +i: Nat, +n: Nat, +b: B.Octets) -> {B.Octets.slice(Nat.add(B.Octets.len(a), i), n, B.Octets.append(a, b)) == B.Octets.slice(i, n, b) : B.Octets}:
  Equal.cong(B.Octets, B.Octets, x => B.Octets.take(n, x), B.Octets.drop(Nat.add(B.Octets.len(a), i), B.Octets.append(a, b)), B.Octets.drop(i, b), p_drop_append_add(a, i, b))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&name=p_drop_append_add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.drop
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.slice
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.take