Nuprl Lemma : messages-delivered_wf
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[X:EClass(Id × Message(f))]. (messages-delivered{i:l}(es;X;f) ∈ ℙ')
Proof
Definitions occuring in Statement :
messages-delivered: messages-delivered{i:l}(es;X;f),
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
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,
messages-delivered: messages-delivered{i:l}(es;X;f),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
and: P ∧ Q,
pi1: fst(t),
pi2: snd(t),
so_apply: x[s],
exists: ∃x:A. B[x],
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))].
(messages-delivered\{i:l\}(es;X;f) \mmember{} \mBbbP{}')
Date html generated:
2016_05_17-AM-08_54_59
Last ObjectModification:
2015_12_29-PM-02_54_19
Theory : messages
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