def ecb_blocks_rt_des

bend-osdev-legacy-ciphers@0.1.0.0 · PROOF.bend:8644

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend as L
import bend-osdev-legacy-ciphers@0.1.0.0/des.bend as D
import bend-osdev-legacy-ciphers@0.1.0.0/modes64.bend as X

8644# the public block layers, through the structural forms
8645def ecb_blocks_rt_des(+k: D.LcDesKey, +bs: List<&2, L.LcBlock64>) -> {X.Lc64.ecb_decrypt_blocks(~D.LcDesKey, ~D.LcDes.decrypt, k, X.Lc64.ecb_encrypt_blocks(~D.LcDesKey, ~D.LcDes.encrypt, k, bs)) == bs : List<&2, L.LcBlock64>}:
8646  %Equal.sym(List<&2, L.LcBlock64>, X.m64.ecb.go(~D.LcDesKey, ~D.LcDes.encrypt, k, bs, Nil{}), X.m64.rev_onto(Nil{}, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs)), ecb_ref(~D.LcDesKey, ~D.LcDes.encrypt, k, bs, Nil{})) : {X.m64.ecb.go(~D.LcDesKey, ~D.LcDes.decrypt, k, _, Nil{}) == bs : List<&2, L.LcBlock64>}
8647  %Equal.sym(List<&2, L.LcBlock64>, X.m64.ecb.go(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs), Nil{}), X.m64.rev_onto(Nil{}, X.m64.ecb(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs))), ecb_ref(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs), Nil{})) : {_ == bs : List<&2, L.LcBlock64>}
8648  Equal.sym(List<&2, L.LcBlock64>, bs, X.m64.ecb(~D.LcDesKey, ~D.LcDes.decrypt, k, X.m64.ecb(~D.LcDesKey, ~D.LcDes.encrypt, k, bs)), ecb_rt_des(k, bs))