LAWS.sub_value: law of bend-osdev-word64@0.1.1.1
Import: import bend-osdev-word64@0.1.1.1/LAWS.bend as LAWS
Lines 148-152 of bend-osdev-word64@0.1.1.1/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.1/LAWS.bend&start_line=148&end_line=152

import Base
import bend-osdev-word64@0.1.1.1/word64.bend as W

law sub_value:
  for +a: W.W64
  for +b: W.W64
  for h: {Nat.is_le(W.W64.to_nat(b), W.W64.to_nat(a)) == True{} : Bool}
  {W.W64.to_nat(W.W64.sub(a, b)) == Nat.sub(W.W64.to_nat(a), W.W64.to_nat(b)) : Nat}

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  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=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=nat_add_zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.bit
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.dbl
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/LAWS.bend&name=lt_value
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/LAWS.bend&name=sub_wrap
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/proof_value.bend&name=wn.le_not_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/proof_value.bend&name=wn.sub_add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/word64.bend&name=W64
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/word64.bend&name=W64.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/word64.bend&name=W64.sub
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.1/word64.bend&name=W64.to_nat