Nuprl Lemma : pa-is-new-and_wf
∀a:ProtocolAction. ∀P:Atom1 ⟶ ℙ.  (pa-is-new-and(a;v.P[v]) ∈ ℙ)
Proof
Definitions occuring in Statement : 
pa-is-new-and: pa-is-new-and(a;v.P[v]), 
protocol-action: ProtocolAction, 
atom: Atom$n, 
prop: ℙ, 
so_apply: x[s], 
all: ∀x:A. B[x], 
member: t ∈ T, 
function: x:A ⟶ B[x]
Definitions unfolded in proof : 
all: ∀x:A. B[x], 
member: t ∈ T, 
pa-is-new-and: pa-is-new-and(a;v.P[v]), 
protocol-action: ProtocolAction, 
pi1: fst(t), 
pi2: snd(t), 
prop: ℙ, 
and: P ∧ Q, 
uall: ∀[x:A]. B[x], 
uimplies: b supposing a, 
sq_type: SQType(T), 
implies: P ⇒ Q, 
guard: {T}, 
eq_atom: x =a y, 
ifthenelse: if b then t else f fi , 
btrue: tt, 
so_apply: x[s], 
subtype_rel: A ⊆r B
Latex:
\mforall{}a:ProtocolAction.  \mforall{}P:Atom1  {}\mrightarrow{}  \mBbbP{}.    (pa-is-new-and(a;v.P[v])  \mmember{}  \mBbbP{})
Date html generated:
2016_05_17-PM-00_37_22
Last ObjectModification:
2015_12_29-PM-06_33_36
Theory : event-logic-applications
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