PROOF.off.drop_app_le: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 856-863 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=856&end_line=863

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

def off.drop_app_le(+n: Nat, xs: List<&2, B.OctByte>, +ys: List<&2, B.OctByte>) -> {Nat.is_le(n, List.length(&2, B.OctByte, xs)) == True{} : Bool} -> {B.w8s.drop(n, List.append(&2, B.OctByte, xs, ys)) == List.append(&2, B.OctByte, B.w8s.drop(n, xs), ys) : List<&2, B.OctByte>}:
  match n xs:
    case 0n _:
      h => {==}
    case 1n+p Nil{}:
      h => off.no({B.w8s.drop(1n+p, ys) == ys : List<&2, B.OctByte>}, h)
    case 1n+p Con{x, t}:
      h => off.drop_app_le(p, t, ys, h)

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&name=off.no
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=OctByte
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=w8s.drop