Nuprl Lemma : pa-is-sign-implies_wf
∀a:ProtocolAction. ∀P:(SecurityData × Id × Atom1) ⟶ ℙ. (pa-is-sign-implies(a;v.P[v]) ∈ ℙ)
Proof
Definitions occuring in Statement :
pa-is-sign-implies: pa-is-sign-implies(a;v.P[v]),
protocol-action: ProtocolAction,
sdata: SecurityData,
Id: Id,
atom: Atom$n,
prop: ℙ,
so_apply: x[s],
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
pa-is-sign-implies: pa-is-sign-implies(a;v.P[v]),
protocol-action: ProtocolAction,
pi1: fst(t),
pi2: snd(t),
implies: P ⇒ Q,
prop: ℙ,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
bfalse: ff,
btrue: tt,
so_apply: x[s]
Latex:
\mforall{}a:ProtocolAction. \mforall{}P:(SecurityData \mtimes{} Id \mtimes{} Atom1) {}\mrightarrow{} \mBbbP{}. (pa-is-sign-implies(a;v.P[v]) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-PM-00_37_01
Last ObjectModification:
2015_12_29-PM-06_33_53
Theory : event-logic-applications
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