Psign.sel_v: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/psign.bend as Psign
Lines 80-89 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/psign.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/psign.bend&start_line=80&end_line=89

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/ecdsa.bend as ES
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/limbs.bend as L
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/ecdsa.bend as E
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/scalarops.bend as SO
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/sel.bend as SL

def sel_v(+one: Nat, +h1: {one == 1n : Nat}, hb: Bool, +s0: List<&2, Nat>, +hs: {FS.reduced(one, FS.order(one), s0) == True{} : Bool}) -> {B.to_be(S.select(E.b2n(hb), S.neg(s0), s0)) == CV.i2osp(32n, ES.low(hb, FS.order(one), FS.value(one, s0))) : List<&2, U32>}:
  match hb:
    case True{}:
      %Equal.sym(List<&2, Nat>, L.select(1n, S.neg(s0), s0), S.neg(s0), SL.sel1(one, 16n, S.neg(s0), s0, SL.sl16(one, S.neg(s0), SO.neg_r(one, h1, s0, hs)), SL.sl16(one, s0, hs))) : {B.to_be(_) == CV.i2osp(32n, FS.mneg(FS.order(one), FS.value(one, s0))) : List<&2, U32>}
      %Equal.sym(List<&2, U32>, B.to_be(S.neg(s0)), CV.i2osp(32n, FS.value(one, S.neg(s0))), tbv(one, h1, S.neg(s0), SL.sl16(one, S.neg(s0), SO.neg_r(one, h1, s0, hs)))) : {_ == CV.i2osp(32n, FS.mneg(FS.order(one), FS.value(one, s0))) : List<&2, U32>}
      %Equal.sym(Nat, FS.value(one, S.neg(s0)), FS.mneg(FS.order(one), FS.value(one, s0)), SO.neg_v(one, h1, s0, hs)) : {CV.i2osp(32n, _) == CV.i2osp(32n, FS.mneg(FS.order(one), FS.value(one, s0))) : List<&2, U32>}
      {==}
    case False{}:
      %Equal.sym(List<&2, Nat>, L.select(0n, S.neg(s0), s0), s0, SL.sel0(one, 16n, S.neg(s0), s0, SL.sl16(one, S.neg(s0), SO.neg_r(one, h1, s0, hs)), SL.sl16(one, s0, hs))) : {B.to_be(_) == CV.i2osp(32n, FS.value(one, s0)) : List<&2, U32>}
      tbv(one, h1, s0, SL.sl16(one, s0, hs))

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/psign.bend&name=tbv
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/scalarops.bend&name=neg_r
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/scalarops.bend&name=neg_v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/sel.bend&name=sel0
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/sel.bend&name=sel1
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/sel.bend&name=sl16
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/curve.bend&name=i2osp
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/ecdsa.bend&name=low
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/field.bend&name=mneg
  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=reduced
  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/bytes.bend&name=to_be
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/ecdsa.bend&name=b2n
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/limbs.bend&name=select
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/scalar.bend&name=neg
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/scalar.bend&name=select