Nuprl Lemma : ses-sign-has-atom
∀s:SES. ∀es:EO+(Info). ∀e:E. ∀a:Atom1.
(Sign(e) has a ⇐⇒ (↑e ∈b Sign) ∧ ((a = signature(e) ∈ Atom1) ∨ (a ∈ sdata-atoms(signed(e)))))
Proof
Definitions occuring in Statement :
ses-signed: signed(e),
ses-sig: signature(e),
ses-sign: Sign,
ses-info: Info,
security-event-structure: SES,
sdata-atoms: sdata-atoms(d),
sdata: SecurityData,
class-value-has: X(e) has a,
in-eclass: e ∈b X,
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
l_member: (x ∈ l),
atom: Atom$n,
assert: ↑b,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q,
and: P ∧ Q,
product: x:A × B[x],
equal: s = t ∈ T
Lemmas :
decidable__assert,
in-eclass_wf,
ses-sign_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
subtype_top,
sdata_wf,
Id_wf,
ses-info_wf,
event-ordering+_wf,
security-event-structure_wf,
eclass-val_wf,
sdata-atoms_wf,
l_member_wf,
atom1_subtype_base,
equal-wf-base,
or_wf,
not_wf,
assert_wf,
iff_wf,
free-from-atom_wf,
free-from-atom-pair-iff,
decidable__l_member,
decidable__atom_equal_1,
decidable__or,
free-from-atom-Id,
free-from-atom-pair,
sdata-free-from-atom,
free-from-atom-atom,
equal-wf-base-T
Latex:
\mforall{}s:SES. \mforall{}es:EO+(Info). \mforall{}e:E. \mforall{}a:Atom1.
(Sign(e) has a \mLeftarrow{}{}\mRightarrow{} (\muparrow{}e \mmember{}\msubb{} Sign) \mwedge{} ((a = signature(e)) \mvee{} (a \mmember{} sdata-atoms(signed(e)))))
Date html generated:
2015_07_23-PM-00_04_30
Last ObjectModification:
2015_07_16-AM-09_37_38
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