PROOFOrder.nt.le_add_r: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF_order.bend as PROOFOrder
Lines 457-466 of bend-osdev-u32@0.1.0.0/PROOF_order.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&start_line=457&end_line=466

import Base

def nt.le_add_r(x: Nat, +w: Nat) -> {Nat.is_le(x, Nat.add(x, w)) == True{} : Bool}:
  match x:
    case 0n:
      match w:
        case 0n:
          {==}
        case 1n+wp:
          {==}
    case 1n+xp:
      nt.le_add_r(xp, w)

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_le