Nuprl Lemma : no-classrel-iff-empty
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. uiff(∀v:T. (¬v ∈ X(e));(X es e) = {} ∈ bag(T))
Proof
Definitions occuring in Statement :
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
not: ¬A,
apply: f a,
universe: Type,
equal: s = t ∈ T,
empty-bag: {},
bag: bag(T)
Lemmas :
all_wf,
not_wf,
classrel_wf,
equal-wf-T-base,
bag_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
empty-bag-iff-no-member,
bag-member_wf,
bag-member-empty
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. uiff(\mforall{}v:T. (\mneg{}v \mmember{} X(e));(X es e) = \{\})
Date html generated:
2015_07_17-PM-00_30_25
Last ObjectModification:
2015_01_27-PM-11_33_06
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