Prec.rid: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/prec.bend as Prec
Lines 186-197 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/prec.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/prec.bend&start_line=186&end_line=197

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/ecdsa.bend as E

def rid(+one: Nat, +h1: {one == 1n : Nat}, +z: List<&2, Nat>, +hz: {FS.reduced(one, FS.order(one), z) == True{} : Bool}, +r: List<&2, Nat>, +hr: {FS.reduced(one, FS.order(one), r) == True{} : Bool}, +s: List<&2, Nat>, +hs: {FS.reduced(one, FS.order(one), s) == True{} : Bool}, id: Nat, +hid: {Nat.is_lt(id, 4n) == True{} : Bool}) -> {E.recover_ok(z, r, s, id, True{}) == ES.recover_ok(one, FS.value(one, z), FS.value(one, r), FS.value(one, s), id, True{}) : Maybe<&2, List<&2, U32>>}:
  match id:
    case 0n:
      rc0(one, h1, z, hz, r, hr, s, hs)
    case 1n:
      rc1(one, h1, z, hz, r, hr, s, hs)
    case 2n:
      rc2(one, h1, z, hz, r, hr, s, hs)
    case 3n:
      rc3(one, h1, z, hz, r, hr, s, hs)
    case 4n+ +c:
      Empty.absurd({E.recover_ok(z, r, s, 4n+c, True{}) == ES.recover_ok(one, FS.value(one, z), FS.value(one, r), FS.value(one, s), 4n+c, True{}) : Maybe<&2, List<&2, U32>>}, not4(c, hid))

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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_lt
  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/prec.bend&name=not4
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/prec.bend&name=rc0
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/prec.bend&name=rc1
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/prec.bend&name=rc2
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/prec.bend&name=rc3
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/ecdsa.bend&name=recover_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=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/ecdsa.bend&name=recover_ok