PROOF.ucmp_lt: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 4006-4007 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=4006&end_line=4007

import Base

def ucmp_lt(+x: U32, +y: U32, e: {U32.cmp(x, y) == LT{} : Cmp}) -> {Nat.cmp(U32.to_nat(x), U32.to_nat(y)) == LT{} : Cmp}:
  Equal.trans(Cmp, Nat.cmp(U32.to_nat(x), U32.to_nat(y)), U32.cmp(x, y), LT{}, ucmp_nat(x, y), e)

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.trans
  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-collections@0.1.4.1/PROOF.bend&name=ucmp_nat