PROOF.ur.r32: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 1700-1702 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=1700&end_line=1702

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

def ur.r32(+x0: Nat) -> {Nat.mul(1n, x0) == x0 : Nat}:
  %Equal.sym(Nat, Nat.mul(1n, x0), x0, Laws.nat_one_mul(x0)) : {_ == 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.mul
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=nat_one_mul