PROOF.off.lat_take: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 1023-1036 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=1023&end_line=1036

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

def off.lat_take(+i: Nat, +n: Nat, xs: List<&2, U32>) -> {Nat.is_lt(i, n) == True{} : Bool} -> {B.at(B.take(n, xs), i) == B.at(xs, i) : Maybe<&2, U32>}:
  match i n xs:
    case 0n 0n _:
      h => off.no({B.at(Nil{}, 0n) == B.at(xs, 0n) : Maybe<&2, U32>}, h)
    case 1n+p 0n _:
      h => off.no({B.at(Nil{}, 1n+p) == B.at(xs, 1n+p) : Maybe<&2, U32>}, h)
    case 0n 1n+q Nil{}:
      h => {==}
    case 0n 1n+q Con{x, t}:
      h => {==}
    case 1n+p 1n+q Nil{}:
      h => {==}
    case 1n+p 1n+q Con{x, t}:
      h => off.lat_take(p, q, t, 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=Maybe
  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_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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=at
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=take