LAWSMul.mul_value: law of bend-osdev-word64@0.1.1.0
Import: import bend-osdev-word64@0.1.1.0/LAWS_mul.bend as LAWSMul
Lines 28-33 of bend-osdev-word64@0.1.1.0/LAWS_mul.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.0/LAWS_mul.bend&start_line=28&end_line=33

import Base
import bend-osdev-word64@0.1.1.0/word64.bend as W

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

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=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.mul
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=dbl_nowrap
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.high
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/LAWS_mul.bend&name=mul_wrap
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/PROOF_mul.bend&name=wv.lt64
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/word64.bend&name=W64
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/word64.bend&name=W64.mul
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/word64.bend&name=W64.to_nat