Nuprl Lemma : ses-is-protocol-action-used
∀[s:SES]
  ∀[pa:ProtocolAction]. ∀[es:EO+(Info)]. ∀[e:E].  UsedAtoms(e) = pa-used(pa) ∈ (Atom1 List) supposing pa(e) 
  supposing ActionsDisjoint
Proof
Definitions occuring in Statement : 
ses-is-protocol-action: pa(e)
, 
pa-used: pa-used(pa)
, 
protocol-action: ProtocolAction
, 
ses-used-atoms: UsedAtoms(e)
, 
ses-disjoint: ActionsDisjoint
, 
ses-info: Info
, 
security-event-structure: SES
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
list: T List
, 
atom: Atom$n
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
equal: s = t ∈ T
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
ses-is-protocol-action: pa(e)
, 
protocol-action: ProtocolAction
, 
pa-used: pa-used(pa)
, 
ses-used-atoms: UsedAtoms(e)
, 
ses-disjoint: ActionsDisjoint
, 
all: ∀x:A. B[x]
, 
exists: ∃x:A. B[x]
, 
and: P ∧ Q
, 
cand: A c∧ B
, 
decidable: Dec(P)
, 
or: P ∨ Q
, 
sq_type: SQType(T)
, 
implies: P 
⇒ Q
, 
guard: {T}
, 
eq_atom: x =a y
, 
ifthenelse: if b then t else f fi 
, 
btrue: tt
, 
bfalse: ff
, 
subtype_rel: A ⊆r B
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
top: Top
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
uiff: uiff(P;Q)
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
false: False
, 
not: ¬A
, 
prop: ℙ
, 
bnot: ¬bb
, 
assert: ↑b
, 
squash: ↓T
, 
true: True
, 
iff: P 
⇐⇒ Q
, 
rev_implies: P 
⇐ Q
, 
ses-signed: signed(e)
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
ses-verify-signed: signed(e)
, 
es-E-interface: E(X)
, 
ses-verify-sig: signature(e)
, 
ses-encryption-key: key(e)
, 
ses-encrypted: plainText(e)
, 
ses-decryption-key: key(e)
, 
ses-cipher: cipherText(e)
Latex:
\mforall{}[s:SES]
    \mforall{}[pa:ProtocolAction].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].    UsedAtoms(e)  =  pa-used(pa)  supposing  pa(e) 
    supposing  ActionsDisjoint
Date html generated:
2016_05_17-PM-00_40_07
Last ObjectModification:
2016_01_18-AM-07_47_36
Theory : event-logic-applications
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