Nuprl Lemma : std-ma-with-omissions_wf
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[X:EClass(Id × Message(f))]. ∀[hdrs:Name List]. ∀[faults:ℤ].
(StandardMessageAutomaton(X;hdrs) (with send omissions at faults locations) ∈ ℙ')
Proof
Definitions occuring in Statement :
std-ma-with-omissions: StandardMessageAutomaton(X;hdrs) (with send omissions at fail locations),
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
std-ma-with-omissions: StandardMessageAutomaton(X;hdrs) (with send omissions at fail locations),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
all: ∀x:A. B[x],
label: ...$L... t
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[X:EClass(Id \mtimes{} Message(f))]. \mforall{}[hdrs:Name List].
\mforall{}[faults:\mBbbZ{}].
(StandardMessageAutomaton(X;hdrs) (with send omissions at faults locations) \mmember{} \mBbbP{}')
Date html generated:
2016_05_17-AM-08_57_14
Last ObjectModification:
2015_12_29-PM-02_53_13
Theory : messages
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