PROOFOrder.u.lt_le.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 361-369 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=361&end_line=369

import Base

def u.lt_le.go(c2: Cmp, +a: U32, +b: U32, +c: U32, +e2: {U32.cmp(b, c) == c2 : Cmp}, +h1: {U32.cmp(a, b) == LT{} : Cmp}, +h2: {Cmp.is_le(c2) == True{} : Bool}) -> {U32.cmp(a, c) == LT{} : Cmp}:
  match c2:
    case LT{}:
      u.cmp_lt_trans(a, b, c, h1, e2)
    case EQ{}:
      %u.eq(b, c, e2) : {U32.cmp(a, _) == LT{} : Cmp}
      h1
    case GT{}:
      Empty.absurd({U32.cmp(a, c) == LT{} : Cmp}, ab.ft(h2))

Uses (9):
  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=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