Nuprl Lemma : class-caused-by-some_wf
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[A:Type]. ∀[Z:A ─→ EClass(Id × Message(f))]. ∀[T:Type]. ∀[X:EClass(T)].
(X <-- p.Z[p] ∈ ℙ')
Proof
Definitions occuring in Statement :
class-caused-by-some: X <-- p.Z[p],
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
all_wf,
es-E_wf,
event-ordering+_subtype,
classrel_wf,
squash_wf,
exists_wf,
es-le_wf,
es-causl_wf,
Id_wf,
eo-forward_wf,
member-eo-forward-E,
equal_wf,
es-loc_wf,
es-info_wf,
eclass_wf3,
subtype_rel_dep_function,
name_wf,
Message_wf,
event-ordering+_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[A:Type]. \mforall{}[Z:A {}\mrightarrow{} EClass(Id \mtimes{} Message(f))]. \mforall{}[T:Type].
\mforall{}[X:EClass(T)].
(X <-- p.Z[p] \mmember{} \mBbbP{}')
Date html generated:
2015_07_21-PM-04_50_59
Last ObjectModification:
2015_01_28-AM-08_43_41
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