Bytes.pw8_shift: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bytes.bend as Bytes
Lines 49-55 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bytes.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bytes.bend&start_line=49&end_line=55

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C

def pw8_shift(n: Nat, +y: Nat) -> {pw8(n, C.shift(8n, y)) == C.shift(8n, pw8(n, y)) : Nat}:
  match n:
    case 0n:
      {==}
    case 1n+ +k:
      %Equal.sym(Nat, pw8(k, C.shift(8n, y)), C.shift(8n, pw8(k, y)), pw8_shift(k, y)) : {C.shift(8n, _) == C.shift(8n, C.shift(8n, pw8(k, y))) : Nat}
      {==}

Uses (4):
  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=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/bytes.bend&name=pw8
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=shift