Pschn.th_v: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pschn.bend as Pschn
Lines 65-68 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pschn.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pschn.bend&start_line=65&end_line=68

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/curve.bend as CV
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/schnorr.bend as SS
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/bytes.bend as B
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/schnorr.bend as SC
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pscal.bend as SQ

# int(hash) mod n
def th_v(+one: Nat, +h1: {one == 1n : Nat}, +tag: List<&2, U32>, +x: List<&2, U32>) -> {FS.value(one, S.reduce(B.of_be(SC.tagged(tag, x)))) == Nat.mod(CV.os2ip(SS.tagged(tag, x)), FS.order(one)) : Nat}:
  %Equal.sym(List<&2, U32>, SC.tagged(tag, x), SS.tagged(tag, x), tagged_v(tag, x)) : {FS.value(one, S.reduce(B.of_be(_))) == Nat.mod(CV.os2ip(SS.tagged(tag, x)), FS.order(one)) : Nat}
  SQ.hash_v(one, h1, SS.tagged(tag, x), tagged_len(tag, x))

Uses (15):
  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.mod
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pscal.bend&name=hash_v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pschn.bend&name=tagged_len
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pschn.bend&name=tagged_v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/curve.bend&name=os2ip
  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/spec/crypto/secp256k1/schnorr.bend&name=tagged
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/bytes.bend&name=of_be
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/scalar.bend&name=reduce
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/schnorr.bend&name=tagged