Nat.internal_lt_one_succ: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 3500-3505 of bend-mathlib@0.8.1.0/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/nat.bend&start_line=3500&end_line=3505

import Base

def internal_lt_one_succ(y: Nat, h: lt(y, 1n)) -> {Bool.or(Nat.is_eq(1n+y, 0n), Nat.is_eq(1n+y, 1n)) == True{} : Bool}:
  match y:
    case 0n:
      {==}
    case 1n+z:
      Empty.absurd({Bool.or(Nat.is_eq(2n+z, 0n), Nat.is_eq(2n+z, 1n)) == True{} : Bool}, lt_zero(z)(h))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.or
  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_eq
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=lt
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=lt_zero