Nuprl Lemma : class-output-member-support
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[bg:bag(E)]. ∀[x:T]. ∀[X:EClass(T)].
↓∃e:E. (e ↓∈ class-output-support(es;bg) ∧ x ∈ X(e)) supposing x ↓∈ class-output(X;es;bg)
Proof
Definitions occuring in Statement :
classrel: v ∈ X(e),
class-output-support: class-output-support(es;bg),
class-output: class-output(X;es;bg),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
exists: ∃x:A. B[x],
squash: ↓T,
and: P ∧ Q,
universe: Type,
bag-member: x ↓∈ bs,
bag: bag(T)
Lemmas :
member-class-output,
member-class-le-before,
bag-member-combine,
es-le-before_wf,
list-subtype-bag,
Id_wf,
es-loc_wf,
es-le-before_wf2,
subtype_rel_list,
es-le_wf,
subtype_rel_self,
l_member_wf,
bag-member_wf,
class-output-support_wf,
classrel_wf,
class-output_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
bag_wf,
member-es-le-before
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[bg:bag(E)]. \mforall{}[x:T]. \mforall{}[X:EClass(T)].
\mdownarrow{}\mexists{}e:E. (e \mdownarrow{}\mmember{} class-output-support(es;bg) \mwedge{} x \mmember{} X(e)) supposing x \mdownarrow{}\mmember{} class-output(X;es;bg)
Date html generated:
2015_07_17-PM-00_29_06
Last ObjectModification:
2015_01_27-PM-11_33_25
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