Point.nth_r: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/point.bend as Point
Lines 50-59 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/point.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/point.bend&start_line=50&end_line=59

import Base
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/point.bend as P
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend as Lg

def nth_r(+one: Nat, +h1: {one == 1n : Nat}, i: Nat, rs: List<&2, List<&2, Nat>>, +h: {allred(one, rs) == True{} : Bool}) -> {red(one, P.nth(i, rs)) == True{} : Bool}:
  match i rs:
    case 0n Nil{}:
      zero_r(one, h1)
    case 1n+k Nil{}:
      zero_r(one, h1)
    case 0n +r <> +t:
      Lg.and_left(red(one, r), allred(one, t), h)
    case 1n+ +k +r <> +t:
      nth_r(one, h1, k, t, Lg.and_right(red(one, r), allred(one, t), h))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/point.bend&name=allred
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/point.bend&name=red
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/point.bend&name=zero_r
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=and_left
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=and_right
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/point.bend&name=nth