PROOF.ucmp_trans: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 4009-4013 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=4009&end_line=4013

import Base

def ucmp_trans(
  +x: U32, +y: U32, +z: U32, e1: {U32.cmp(x, y) == LT{} : Cmp}, e2: {U32.cmp(y, z) == LT{} : Cmp}
) -> {U32.cmp(x, z) == LT{} : Cmp}:
  %ucmp_nat(x, z) : {_ == LT{} : Cmp}
  ncmp_trans(U32.to_nat(x), U32.to_nat(y), U32.to_nat(z), ucmp_lt(x, y, e1), ucmp_lt(y, z, e2))

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=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=ncmp_trans
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=ucmp_lt
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=ucmp_nat