PROOFOrder.u.le_lt.go: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF_order.bend as PROOFOrder
Lines 347-355 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=347&end_line=355

import Base

def u.le_lt.go(c1: Cmp, +a: U32, +b: U32, +c: U32, +e1: {U32.cmp(a, b) == c1 : Cmp}, +h1: {Cmp.is_le(c1) == True{} : Bool}, +h2: {U32.cmp(b, c) == LT{} : Cmp}) -> {U32.cmp(a, c) == LT{} : Cmp}:
  match c1:
    case LT{}:
      u.cmp_lt_trans(a, b, c, e1, h2)
    case EQ{}:
      %Equal.sym(U32, a, b, u.eq(a, b, e1)) : {U32.cmp(_, c) == LT{} : Cmp}
      h2
    case GT{}:
      Empty.absurd({U32.cmp(a, c) == LT{} : Cmp}, ab.ft(h1))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=ab.ft
  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=u.eq