PROOF.tr.dbody: def of bend-osdev-cipher-modes@0.1.0.0
Import: import bend-osdev-cipher-modes@0.1.0.0/PROOF.bend as PROOF
Lines 1250-1256 of bend-osdev-cipher-modes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&start_line=1250&end_line=1256

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-bytes@0.1.0.0/LAWS.bend as BL
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M
import bend-osdev-cipher-modes@0.1.0.0/ccm.bend as CC

def tr.dbody(~K: Data, ~enc: K -> M.CmBlock -> M.CmBlock, +k: K, +m: Nat, +nv: List<&2, U32>, +av: List<&2, U32>, +cv: List<&2, U32>) -> {CC.ccm.dbody(~K, ~enc, k, m, nv, av, cv) == CC.ccm.dbody.fast(~K, ~enc, k, m, nv, av, cv) : Result<&2, &2, M.CmError, B.Octets>}:
  %BL.len_fast(cv) : {CC.ccm.dbody(~K, ~enc, k, m, nv, av, cv) == CC.ccm.open(M.cm.ct_eq(M.cm.xor_bytes(B.drop(Nat.sub(_, m), cv), M.cm.bytes_of(enc(k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv)))), CC.ccm.tag.fast(~K, ~enc, k, m, Nat.sub(15n, B.len(nv)), nv, av, CC.ccm.xcrypt.fast(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), M.cm.split.fast(B.take.fast(Nat.sub(_, m), cv))))), CC.ccm.xcrypt.fast(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), M.cm.split.fast(B.take.fast(Nat.sub(_, m), cv)))) : Result<&2, &2, M.CmError, B.Octets>}
  %BL.take_fast(Nat.sub(B.len(cv), m), cv) : {CC.ccm.dbody(~K, ~enc, k, m, nv, av, cv) == CC.ccm.open(M.cm.ct_eq(M.cm.xor_bytes(B.drop(Nat.sub(B.len(cv), m), cv), M.cm.bytes_of(enc(k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv)))), CC.ccm.tag.fast(~K, ~enc, k, m, Nat.sub(15n, B.len(nv)), nv, av, CC.ccm.xcrypt.fast(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), M.cm.split.fast(_)))), CC.ccm.xcrypt.fast(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), M.cm.split.fast(_))) : Result<&2, &2, M.CmError, B.Octets>}
  %tr.split_eq(B.take(Nat.sub(B.len(cv), m), cv)) : {CC.ccm.dbody(~K, ~enc, k, m, nv, av, cv) == CC.ccm.open(M.cm.ct_eq(M.cm.xor_bytes(B.drop(Nat.sub(B.len(cv), m), cv), M.cm.bytes_of(enc(k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv)))), CC.ccm.tag.fast(~K, ~enc, k, m, Nat.sub(15n, B.len(nv)), nv, av, CC.ccm.xcrypt.fast(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), _))), CC.ccm.xcrypt.fast(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), _)) : Result<&2, &2, M.CmError, B.Octets>}
  %tr.xcrypt(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), M.cm.split(B.take(Nat.sub(B.len(cv), m), cv))) : {CC.ccm.dbody(~K, ~enc, k, m, nv, av, cv) == CC.ccm.open(M.cm.ct_eq(M.cm.xor_bytes(B.drop(Nat.sub(B.len(cv), m), cv), M.cm.bytes_of(enc(k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv)))), CC.ccm.tag.fast(~K, ~enc, k, m, Nat.sub(15n, B.len(nv)), nv, av, _)), _) : Result<&2, &2, M.CmError, B.Octets>}
  %tr.tag(~K, ~enc, k, m, Nat.sub(15n, B.len(nv)), nv, av, CC.ccm.xcrypt(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), M.cm.split(B.take(Nat.sub(B.len(cv), m), cv)))) : {CC.ccm.dbody(~K, ~enc, k, m, nv, av, cv) == CC.ccm.open(M.cm.ct_eq(M.cm.xor_bytes(B.drop(Nat.sub(B.len(cv), m), cv), M.cm.bytes_of(enc(k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv)))), _), CC.ccm.xcrypt(~K, ~enc, k, CC.ccm.a0(Nat.sub(15n, B.len(nv)), nv), M.cm.split(B.take(Nat.sub(B.len(cv), m), cv)))) : Result<&2, &2, M.CmError, B.Octets>}
  {==}

Uses (29):
  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.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/LAWS.bend&name=len_fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/LAWS.bend&name=take_fast
  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=drop
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=take
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=take.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.split_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.tag
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&name=tr.xcrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.a0
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.dbody
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.dbody.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.open
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.tag.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.xcrypt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.xcrypt.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmBlock
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmError
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.bytes_of
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.ct_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.split
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.split.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.xor_bytes