Nuprl Lemma : event-has*-transitive-encrypt
∀s:SES. ∀es:EO+(Info). ∀a:Atom1. ∀e1,e2:E. e1 has* a ⇒ e2 has* cipherText(e1) ⇒ e2 has* a supposing ↑e1 ∈b Encrypt
Proof
Definitions occuring in Statement :
event-has*: e has* a,
ses-crypt: cipherText(e),
ses-encrypt: Encrypt,
ses-info: Info,
security-event-structure: SES,
in-eclass: e ∈b X,
event-ordering+: EO+(Info),
es-E: E,
atom: Atom$n,
assert: ↑b,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q
Lemmas :
assert_witness,
in-eclass_wf,
ses-info_wf,
ses-encrypt_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
subtype_top,
sdata_wf,
encryption-key_wf,
event-has*_wf,
ses-crypt_wf,
assert_wf,
security-event-structure_wf,
event-has_wf,
exists_wf,
nat_wf,
infix_ap_wf,
rel_exp_wf,
ses-info-flow_wf,
rel_exp_add,
decidable__le,
false_wf,
not-le-2,
sq_stable__le,
condition-implies-le,
minus-add,
minus-one-mul,
zero-add,
add-associates,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
le_wf,
rel_exp_one,
zero-le-nat
Latex:
\mforall{}s:SES. \mforall{}es:EO+(Info). \mforall{}a:Atom1. \mforall{}e1,e2:E.
e1 has* a {}\mRightarrow{} e2 has* cipherText(e1) {}\mRightarrow{} e2 has* a supposing \muparrow{}e1 \mmember{}\msubb{} Encrypt
Date html generated:
2015_07_23-PM-00_05_36
Last ObjectModification:
2015_01_29-AM-07_48_26
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