ProofBytes.byte_pack4.k: def of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_bytes.bend as ProofBytes
Lines 1254-1264 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=1254&end_line=1264

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

def byte_pack4.k(+b0: U32, +b1: U32, +b2: U32, +b3: U32, +j: Nat,
  +h0: {Nat.is_lt(U32.to_nat(b0), Nat.pow(2n, 8n)) == True{} : Bool},
  +h1: {Nat.is_lt(U32.to_nat(b1), Nat.pow(2n, 8n)) == True{} : Bool},
  +h2: {Nat.is_lt(U32.to_nat(b2), Nat.pow(2n, 8n)) == True{} : Bool},
  +h3: {Nat.is_lt(U32.to_nat(b3), Nat.pow(2n, 8n)) == True{} : Bool},
  +hj: {Nat.is_lt(j, 4n) == True{} : Bool}, +k: Nat) ->
  {D.bit(D.byte(D.pack4(b0, b1, b2, b3), j), k) == D.bit(D.nth4(j, b0, b1, b2, b3), k) : Bool}:
  %Equal.sym(Bool, D.bit(D.byte(D.pack4(b0, b1, b2, b3), j), k), Bool.and(Nat.is_lt(k, 8n), D.bit(D.pack4(b0, b1, b2, b3), Nat.add(Nat.mul(8n, j), k))),
      bit_byte(D.pack4(b0, b1, b2, b3), j, k)) :
    {_ == D.bit(D.nth4(j, b0, b1, b2, b3), k) : Bool}
  byte_pack4.l(b0, b1, b2, b3, j, k, h0, h1, h2, h3, hj, Nat.is_lt(k, 8n), {==})

Uses (16):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  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.is_lt
  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.to_nat
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/defs.bend&name=bit
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/defs.bend&name=byte
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/defs.bend&name=nth4
  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=bit_byte
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_bytes.bend&name=byte_pack4.l