def pw8_zero

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/bytes.bend:40

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

40def pw8_zero(n: Nat) -> {pw8(n, 0n) == 0n : Nat}:
41  match n:
42    case 0n:
43      {==}
44    case 1n+ +k:
45      %Equal.sym(Nat, pw8(k, 0n), 0n, pw8_zero(k)) : {C.shift(8n, _) == 0n : Nat}
46      %Equal.sym(Nat, C.shift(8n, 0n), 0n, WW.shift_zero(8n)) : {_ == 0n : Nat}
47      {==}