Bytes.pw8_zero: 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 40-47 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=40&end_line=47

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/width.bend as WW

def pw8_zero(n: Nat) -> {pw8(n, 0n) == 0n : Nat}:
  match n:
    case 0n:
      {==}
    case 1n+ +k:
      %Equal.sym(Nat, pw8(k, 0n), 0n, pw8_zero(k)) : {C.shift(8n, _) == 0n : Nat}
      %Equal.sym(Nat, C.shift(8n, 0n), 0n, WW.shift_zero(8n)) : {_ == 0n : Nat}
      {==}

Uses (5):
  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/proofs/math/typed/width.bend&name=shift_zero
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=shift