PROOFOrder.u.lt_trans: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF_order.bend as PROOFOrder
Lines 326-327 of bend-osdev-u32@0.1.0.0/PROOF_order.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&start_line=326&end_line=327

import Base

def u.lt_trans(+a: U32, +b: U32, +c: U32, +h1: {ult(a, b) == True{} : Bool}, +h2: {ult(b, c) == True{} : Bool}) -> {ult(a, c) == True{} : Bool}:
  cm.is_lt_of(U32.cmp(a, c), u.cmp_lt_trans(a, b, c, cm.lt_of(U32.cmp(a, b), h1), cm.lt_of(U32.cmp(b, c), h2)))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=cm.is_lt_of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=cm.lt_of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=u.cmp_lt_trans
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=ult