Nuprl Lemma : decidable__pa-is-sign-implies
∀a:ProtocolAction. ∀P:(SecurityData × Id × Atom1) ⟶ ℙ.
  ((∀v:SecurityData × Id × Atom1. Dec(P[v])) 
⇒ Dec(pa-is-sign-implies(a;v.P[v])))
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
, 
decidable: Dec(P)
, 
prop: ℙ
, 
so_apply: x[s]
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
function: x:A ⟶ B[x]
, 
product: x:A × B[x]
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
pa-is-sign-implies: pa-is-sign-implies(a;v.P[v])
, 
protocol-action: ProtocolAction
, 
pi1: fst(t)
, 
pi2: snd(t)
, 
member: t ∈ T
, 
decidable: Dec(P)
, 
or: P ∨ Q
, 
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]
, 
prop: ℙ
, 
not: ¬A
, 
false: False
, 
subtype_rel: A ⊆r B
, 
so_lambda: λ2x.t[x]
Latex:
\mforall{}a:ProtocolAction.  \mforall{}P:(SecurityData  \mtimes{}  Id  \mtimes{}  Atom1)  {}\mrightarrow{}  \mBbbP{}.
    ((\mforall{}v:SecurityData  \mtimes{}  Id  \mtimes{}  Atom1.  Dec(P[v]))  {}\mRightarrow{}  Dec(pa-is-sign-implies(a;v.P[v])))
Date html generated:
2016_05_17-PM-00_37_08
Last ObjectModification:
2015_12_29-PM-06_33_42
Theory : event-logic-applications
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