Nuprl Lemma : oar-crypto_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[M:Type]. ∀[V,S:EClass(Id × Atom1 × Id × ℕ × M)]. ∀[correct:Id ⟶ ℙ].
(oar-crypto(es;M;V;S;correct) ∈ ℙ)
Proof
Definitions occuring in Statement :
oar-crypto: oar-crypto(es;M;V;S;correct),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
nat: ℕ,
atom: Atom$n,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
oar-crypto: oar-crypto(es;M;V;S;correct),
prop: ℙ,
and: P ∧ Q,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
so_apply: x[s],
exists: ∃x:A. B[x],
all: ∀x:A. B[x],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[M:Type]. \mforall{}[V,S:EClass(Id \mtimes{} Atom1 \mtimes{} Id \mtimes{} \mBbbN{} \mtimes{} M)].
\mforall{}[correct:Id {}\mrightarrow{} \mBbbP{}].
(oar-crypto(es;M;V;S;correct) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-PM-00_55_25
Last ObjectModification:
2015_12_29-PM-06_27_20
Theory : event-logic-applications
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