Pscal.scalar_ok_v: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pscal.bend as Pscal
Lines 20-23 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pscal.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pscal.bend&start_line=20&end_line=23

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/field.bend as FS
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/ecdsa.bend as ES
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/scalar.bend as S
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/ecdsa.bend as E
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/fwrap.bend as FW

def scalar_ok_v(+one: Nat, +h1: {one == 1n : Nat}, +x: List<&2, Nat>) -> {E.scalar_ok(x) == ES.scalar_ok(one, FS.value(one, x)) : Bool}:
  %Equal.sym(Bool, S.is_zero(x), Nat.is_eq(FS.value(one, x), 0n), FW.is_zero_s(one, h1, x)) : {Bool.and(Bool.not(_), S.lt_n(x)) == Bool.and(Bool.not(Nat.is_eq(FS.value(one, x), 0n)), Nat.is_lt(FS.value(one, x), FS.order(one))) : Bool}
  %Equal.sym(Bool, S.lt_n(x), Nat.is_lt(FS.value(one, x), FS.order(one)), FW.lt_n_s(one, h1, x)) : {Bool.and(Bool.not(Nat.is_eq(FS.value(one, x), 0n)), _) == Bool.and(Bool.not(Nat.is_eq(FS.value(one, x), 0n)), Nat.is_lt(FS.value(one, x), FS.order(one))) : Bool}
  {==}

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=Bool.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/fwrap.bend&name=is_zero_s
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/fwrap.bend&name=lt_n_s
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/ecdsa.bend&name=scalar_ok
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/field.bend&name=order
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/field.bend&name=value
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/ecdsa.bend&name=scalar_ok
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/scalar.bend&name=is_zero
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/scalar.bend&name=lt_n