Aead.open_append: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend as Aead
Lines 427-432 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend&start_line=427&end_line=432

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/aes/gcm.bend as G

def open_append(+nk: Nat, +nr: Nat, +key: List<&2, U32>, +iv: List<&2, U32>, +aad: List<&2, U32>, +c: List<&2, U32>, +t0: U32, +t1: U32, +t2: U32, +t3: U32, +t4: U32, +t5: U32, +t6: U32, +t7: U32, +t8: U32, +t9: U32, +t10: U32, +t11: U32, +t12: U32, +t13: U32, +t14: U32, +t15: U32) -> {G.open(nk, nr, key, iv, aad, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15])) == G.open_checked(nk, nr, key, iv, aad, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]) : Maybe<&2, List<&2, U32>>}:
  %Equal.sym(Bool, Nat.is_lt(List.length(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15])), 16n), False{}, not_short(c, t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15)) : {G.open_split(nk, nr, key, iv, aad, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]), List.length(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15])), _) == G.open_checked(nk, nr, key, iv, aad, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]) : Maybe<&2, List<&2, U32>>}
  %Equal.sym(Nat, Nat.sub(List.length(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15])), 16n), List.length(&2, U32, c), sub16(c, t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15)) : {G.open_checked(nk, nr, key, iv, aad, List.take(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]), _), List.drop(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]), _)) == G.open_checked(nk, nr, key, iv, aad, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]) : Maybe<&2, List<&2, U32>>}
  %Equal.sym(List<&2, U32>, List.take(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]), List.length(&2, U32, c)), c, take_app(c, t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15)) : {G.open_checked(nk, nr, key, iv, aad, _, List.drop(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]), List.length(&2, U32, c))) == G.open_checked(nk, nr, key, iv, aad, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]) : Maybe<&2, List<&2, U32>>}
  %Equal.sym(List<&2, U32>, List.drop(&2, U32, List.append(&2, U32, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]), List.length(&2, U32, c)), [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15], drop_app(c, t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15)) : {G.open_checked(nk, nr, key, iv, aad, c, _) == G.open_checked(nk, nr, key, iv, aad, c, [t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15]) : Maybe<&2, List<&2, U32>>}
  {==}

Uses (19):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.drop
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.take
  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=Nat.sub
  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/aes/aead.bend&name=drop_app
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend&name=not_short
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend&name=sub16
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/aes/aead.bend&name=take_app
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/aes/gcm.bend&name=open
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/aes/gcm.bend&name=open_checked
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/aes/gcm.bend&name=open_split