LAWS.echainiv_round_trip_if: law of bend-osdev-aead@0.1.0.0
Import: import bend-osdev-aead@0.1.0.0/LAWS.bend as LAWS
Lines 148-166 of bend-osdev-aead@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-aead@0.1.0.0/LAWS.bend&start_line=148&end_line=166

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-crypto@0.1.0.0/crypto.bend as Cr
import bend-osdev-aead@0.1.0.0/echainiv.bend as Ec

law echainiv_round_trip_if:
  for ~KA: Data
  for ~KC: Data
  for ~Blk: Data
  for ~enc: KC -> Blk -> Blk
  for ~blk_of: B.Octets -> Maybe<&2, Blk>
  for ~blk_to: Blk -> B.Octets
  for ~seal: KA -> B.Octets -> B.Octets -> B.Octets -> Result<&2, &2, Cr.CrError, B.Octets>
  for ~open: KA -> B.Octets -> B.Octets -> B.Octets -> Result<&2, &2, Cr.CrError, B.Octets>
  for ~ivlen: Nat
  for +ka: KA
  for +kc: KC
  for +salt: B.Octets
  for +seq: B.Octets
  for +aad: B.Octets
  for +p: B.Octets
  for hl: {B.Octets.len(Ec.AdEchainiv.iv(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, Ec.AdEchainivKey{ka, kc, salt}, seq)) == ivlen : Nat}
  for h: {Result.bind(&2, &2, Cr.CrError, B.Octets, B.Octets, seal(ka, Ec.AdEchainiv.iv(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, Ec.AdEchainivKey{ka, kc, salt}, seq), B.Octets.append(aad, Ec.AdEchainiv.iv(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, Ec.AdEchainivKey{ka, kc, salt}, seq)), p), c => open(ka, Ec.AdEchainiv.iv(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, Ec.AdEchainivKey{ka, kc, salt}, seq), B.Octets.append(aad, Ec.AdEchainiv.iv(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, Ec.AdEchainivKey{ka, kc, salt}, seq)), c)) == Result.map(&2, &2, Cr.CrError, B.Octets, B.Octets, c => p, seal(ka, Ec.AdEchainiv.iv(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, Ec.AdEchainivKey{ka, kc, salt}, seq), B.Octets.append(aad, Ec.AdEchainiv.iv(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, Ec.AdEchainivKey{ka, kc, salt}, seq)), p)) : Result<&2, &2, Cr.CrError, B.Octets>}
  {Result.bind(&2, &2, Cr.CrError, B.Octets, B.Octets, Ec.AdEchainiv.seal(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, ~seal, Ec.AdEchainivKey{ka, kc, salt}, seq, aad, p), c => Ec.AdEchainiv.open(~KA, ~KC, ~open, ~ivlen, Ec.AdEchainivKey{ka, kc, salt}, seq, aad, c)) == Result.map(&2, &2, Cr.CrError, B.Octets, B.Octets, c => p, Ec.AdEchainiv.seal(~KA, ~KC, ~Blk, ~enc, ~blk_of, ~blk_to, ~seal, Ec.AdEchainivKey{ka, kc, salt}, seq, aad, p)) : Result<&2, &2, Cr.CrError, B.Octets>}

Uses (14):
  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=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result.bind
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result.map
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/PROOF.bend&name=echainiv_r
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/echainiv.bend&name=AdEchainiv.iv
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/echainiv.bend&name=AdEchainiv.open
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/echainiv.bend&name=AdEchainiv.seal
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aead@0.1.0.0/echainiv.bend&name=AdEchainivKey
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-crypto@0.1.0.0/crypto.bend&name=CrError