PROOF.ur.r43: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 2211-2213 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=2211&end_line=2213

import Base
import bend-osdev-u32@0.1.0.0/LAWS.bend as Laws

def ur.r43(+x0: Nat, +x1: Nat) -> {Nat.add(x0, x1) == Nat.add(x1, x0) : Nat}:
  %Equal.sym(Nat, Nat.add(x0, x1), Nat.add(x1, x0), Equal.sym(Nat, Nat.add(x1, x0), Nat.add(x0, x1), Laws.nat_add_comm(x1, x0))) : {_ == Nat.add(x1, x0) : Nat}
  {==}

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=bend-osdev-u32@0.1.0.0/LAWS.bend&name=nat_add_comm