U32.is_lt_nat: law of bend-lawful-stdlib@0.1.0.0
Import: import bend-lawful-stdlib@0.1.0.0/src/u32.bend as U32
Lines 107-113 of bend-lawful-stdlib@0.1.0.0/src/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-lawful-stdlib@0.1.0.0/src/u32.bend&start_line=107&end_line=113

import Base
import bend-lawful-stdlib@0.1.0.0/src/nat.bend as Nat

# a result of U32.is_lt is the same result of Nat.is_lt on the numbers
law is_lt_nat:
  for +a: U32
  for +b: U32
  for -c: Bool
  for e: {U32.is_lt(a, b) == c : Bool}
  {Nat.is_lt(U32.to_nat(a), U32.to_nat(b)) == c : Bool}

Uses (11):
  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_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  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=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-lawful-stdlib@0.1.0.0/src/u32.bend&name=cmp_nat