PROOF.AP.get_rep: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 1493-1500 of bend-osdev-array@0.1.0.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&start_line=1493&end_line=1500

import Base

def AP.get_rep(-T: Data, n: Nat, k: Nat, +v: T, h: {Nat.is_lt(k, n) == True{} : Bool}) -> {List.get(&2, T, List.replicate(T, n, v), k) == Some{v} : Maybe<&2, T>}:
  match n k:
    case 0n _:
      Empty.absurd({List.get(&2, T, List.replicate(T, 0n, v), k) == Some{v} : Maybe<&2, T>}, AP.ft(Equal.trans(Bool, False{}, Nat.is_lt(k, 0n), True{}, Equal.sym(Bool, Nat.is_lt(k, 0n), False{}, AP.lt_zero(k)), h)))
    case 1n+p 0n:
      {==}
    case 1n+p 1n+q:
      AP.get_rep(T, p, q, v, h)

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.replicate
  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=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.ft
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.lt_zero