ProofBytes.to_nat_pack4: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_bytes.bend as ProofBytes
Lines 1595-1604 of lawful-words@0.1.0.0/proof_bytes.bend: https://jend.leeeet.dev/read.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&start_line=1595&end_line=1604

import Base
import lawful-words@0.1.0.0/defs.bend as D

law to_nat_pack4:
  for +b0: U32
  for +b1: U32
  for +b2: U32
  for +b3: U32
  for +h0: {U32.is_lt(b0, 256) == True{} : Bool}
  for +h1: {U32.is_lt(b1, 256) == True{} : Bool}
  for +h2: {U32.is_lt(b2, 256) == True{} : Bool}
  for +h3: {U32.is_lt(b3, 256) == True{} : Bool}
  {U32.to_nat(D.pack4(b0, b1, b2, b3)) == Nat.add(U32.to_nat(b0), Nat.add(Nat.mul(U32.to_nat(b1), Nat.pow(2n, 8n)), Nat.add(Nat.mul(U32.to_nat(b2), Nat.pow(2n, 16n)), Nat.mul(U32.to_nat(b3), Nat.pow(2n, 24n))))) : Nat}

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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
  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.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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=lawful-words@0.1.0.0/defs.bend&name=pack4
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=lt256
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=p16
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=p24
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=pk.m