PROOF.un.lt1: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 2052-2061 of bend-osdev-u32@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&start_line=2052&end_line=2061

import Base

def un.lt1(x: Nat, h: {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}, un.ft(h))
        case 1n+ +q:
          Empty.absurd({2n+q == 0n : Nat}, un.ft(h))

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-u32@0.1.0.0/PROOF.bend&name=un.ft