PROOF.AP.lt_one: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 96-105 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=96&end_line=105

import Base

def AP.lt_one(x: Nat, e: {Nat.is_lt(x, 1n) == True{} : Bool}) -> {x == 0n : Nat}:
  match x:
    case 0n:
      {==}
    case 1n+p:
      match p:
        case 0n:
          Empty.absurd({1n == 0n : Nat}, AP.ft(e))
        case 1n+q:
          Empty.absurd({2n+q == 0n : Nat}, AP.ft(e))

Uses (5):
  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=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