LAWSOrder.nat_lt_le_trans: law of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/LAWS_order.bend as LAWSOrder
Lines 25-31 of bend-osdev-u32@0.1.0.0/LAWS_order.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/LAWS_order.bend&start_line=25&end_line=31

import Base

law nat_lt_le_trans:
  for +x: Nat
  for +y: Nat
  for +z: Nat
  for h1: {Nat.is_lt(x, y) == True{} : Bool}
  for h2: {Nat.is_le(y, z) == True{} : Bool}
  {Nat.is_lt(x, z) == True{} : Bool}

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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF_order.bend&name=nt.lt_le_trans