Nuprl Lemma : oar-consistency_wf
∀[Info:Type]
∀es:EO+(Info). ∀M:Type. ∀correct:Id ⟶ ℙ. ∀OARDeliver:EClass(Id × ℕ × M).
(oar-consistency(es;M;correct;OARDeliver) ∈ ℙ)
Proof
Definitions occuring in Statement :
oar-consistency: oar-consistency(es;M;correct;OARDeliver),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
nat: ℕ,
uall: ∀[x:A]. B[x],
prop: ℙ,
all: ∀x:A. B[x],
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,
all: ∀x:A. B[x],
oar-consistency: oar-consistency(es;M;correct;OARDeliver),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}M:Type. \mforall{}correct:Id {}\mrightarrow{} \mBbbP{}. \mforall{}OARDeliver:EClass(Id \mtimes{} \mBbbN{} \mtimes{} M).
(oar-consistency(es;M;correct;OARDeliver) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-PM-00_55_50
Last ObjectModification:
2015_12_29-PM-06_26_54
Theory : event-logic-applications
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