Nuprl Lemma : messages-delivered-with-omissions-sub_wf
∀[failures:ℤ]. ∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[X:EClass(Id × Message(f))]. ∀[ids:bag(Id)].
(messages-delivered-with-omissions-sub{i:l}(es;X;failures;ids;f) ∈ ℙ')
Proof
Definitions occuring in Statement :
messages-delivered-with-omissions-sub: messages-delivered-with-omissions-sub{i:l}(es;X;failures;ids;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],
int: ℤ,
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
messages-delivered-with-omissions-sub: messages-delivered-with-omissions-sub{i:l}(es;X;failures;ids;f),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
implies: P ⇒ Q,
pi1: fst(t),
pi2: snd(t),
so_apply: x[s],
exists: ∃x:A. B[x],
all: ∀x:A. B[x],
uimplies: b supposing a,
label: ...$L... t
Latex:
\mforall{}[failures:\mBbbZ{}]. \mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[X:EClass(Id \mtimes{} Message(f))].
\mforall{}[ids:bag(Id)].
(messages-delivered-with-omissions-sub\{i:l\}(es;X;failures;ids;f) \mmember{} \mBbbP{}')
Date html generated:
2016_05_17-AM-08_55_10
Last ObjectModification:
2015_12_29-PM-02_54_57
Theory : messages
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