Nuprl Lemma : ses-is-protocol-action_wf
∀[s:SES]. ∀[pa:ProtocolAction]. ∀[es:EO+(Info)]. ∀[e:E]. (pa(e) ∈ ℙ)
Proof
Definitions occuring in Statement :
ses-is-protocol-action: pa(e),
protocol-action: ProtocolAction,
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ses-is-protocol-action: pa(e),
protocol-action: ProtocolAction,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
top: Top,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
nequal: a ≠ b ∈ T ,
not: ¬A
Latex:
\mforall{}[s:SES]. \mforall{}[pa:ProtocolAction]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. (pa(e) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-PM-00_39_50
Last ObjectModification:
2015_12_29-PM-06_32_44
Theory : event-logic-applications
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