Nuprl Lemma : event_in_sv_classrel_is_in_class
∀[Info,T:Type]. ∀eo:EO+(Info). ∀[e:E]. ∀[v:T]. ∀[X:EClass(T)]. ((v ∈ X(e) ∧ Singlevalued(X)) ⇒ (e ∈ E(X)))
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
sv-class: Singlevalued(X),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
and: P ∧ Q,
member: t ∈ T,
universe: Type
Lemmas :
bag-size_wf,
subtype_base_sq,
int_subtype_base,
assert_of_eq_int,
bag-size-zero,
le_weakening,
bag-member-empty,
assert_wf,
eq_int_wf,
nat_wf,
classrel_wf,
sv-class_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf
Latex:
\mforall{}[Info,T:Type].
\mforall{}eo:EO+(Info). \mforall{}[e:E]. \mforall{}[v:T]. \mforall{}[X:EClass(T)]. ((v \mmember{} X(e) \mwedge{} Singlevalued(X)) {}\mRightarrow{} (e \mmember{} E(X)))
Date html generated:
2015_07_22-PM-00_14_38
Last ObjectModification:
2015_01_28-AM-10_45_27
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