PROOFOrder.u.le_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 385-387 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=385&end_line=387

import Base

# a <= b <= c
def u.le_trans(+a: U32, +b: U32, +c: U32, +h1: {ule(a, b) == True{} : Bool}, +h2: {ule(b, c) == True{} : Bool}) -> {ule(a, c) == True{} : Bool}:
  u.le_le.go(U32.cmp(a, b), a, b, c, {==}, h1, h2)

Uses (5):
  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=u.le_le.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=ule