PROOF.un.not_lt_add: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 240-250 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=240&end_line=250

import Base

# A + B < A never holds
def un.not_lt_add(a: Nat, b: Nat) -> {Nat.is_lt(Nat.add(a, b), a) == False{} : Bool}:
  match a:
    case 0n:
      match b:
        case 0n:
          {==}
        case 1n+q:
          {==}
    case 1n+p:
      un.not_lt_add(p, b)

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt