PROOF.ucmp_nat: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3990-3991 of bend-kit-collections@0.1.4.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&start_line=3990&end_line=3991

import Base
import bend-kit-lemmas@0.1.1.0/lemmas.bend as Lemmas

def ucmp_nat(+a: U32, +b: U32) -> {Nat.cmp(U32.to_nat(a), U32.to_nat(b)) == U32.cmp(a, b) : Cmp}:
  Equal.sym(Cmp, U32.cmp(a, b), Nat.cmp(U32.to_nat(a), U32.to_nat(b)), Lemmas.u32_cmp_nat(a, b))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  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.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-kit-lemmas@0.1.1.0/lemmas.bend&name=u32_cmp_nat