Canon.iz_sc: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/canon.bend as Canon
Lines 141-146 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/canon.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/canon.bend&start_line=141&end_line=146

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend as WD

def iz_sc(+k: Nat, +x: Nat) -> {Nat.is_eq(WD.sc(k, x), 0n) == Nat.is_eq(x, 0n) : Bool}:
  match k:
    case 0n:
      {==}
    case 1n+ +q:
      Equal.trans(Bool, Nat.is_eq(Nat.double(WD.sc(q, x)), 0n), Nat.is_eq(WD.sc(q, x), 0n), Nat.is_eq(x, 0n), iz_dbl(WD.sc(q, x)), iz_sc(q, x))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.double
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/canon.bend&name=iz_dbl
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend&name=sc