Limbs.ev_value: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend as Limbs
Lines 43-50 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend&start_line=43&end_line=50

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/field.bend as FS

def ev_value(+one: Nat, +h1: {one == 1n : Nat}, xs: List<&2, Nat>) -> {FS.value(one, xs) == ev(xs) : Nat}:
  match xs:
    case Nil{}:
      {==}
    case +x <> +t:
      %Equal.sym(Nat, Nat.mul(one, x), x, mul_one_l(one, h1, x)) : {Nat.add(_, C.shift(16n, FS.digits(one, t))) == Nat.add(x, C.shift(16n, ev(t))) : Nat}
      %Equal.sym(Nat, FS.digits(one, t), ev(t), ev_value(one, h1, t)) : {Nat.add(x, C.shift(16n, _)) == Nat.add(x, C.shift(16n, ev(t))) : Nat}
      {==}

Uses (10):
  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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend&name=ev
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend&name=mul_one_l
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/field.bend&name=digits
  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/lib/common.bend&name=shift