Nuprl Lemma : member-class-output
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[bg:bag(E)]. ∀[v:T].
uiff(v ↓∈ class-output(X;es;bg);↓∃e:E. (e ↓∈ bg ∧ v ↓∈ class-le-before(X;es;e)))
Proof
Definitions occuring in Statement :
class-output: class-output(X;es;bg),
class-le-before: class-le-before(X;es;e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
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 :
bag-member-combine,
class-le-before_wf,
bag-member_wf,
bag-combine_wf,
squash_wf,
exists_wf,
class-output_wf,
es-E_wf,
event-ordering+_subtype,
bag_wf,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[bg:bag(E)]. \mforall{}[v:T].
uiff(v \mdownarrow{}\mmember{} class-output(X;es;bg);\mdownarrow{}\mexists{}e:E. (e \mdownarrow{}\mmember{} bg \mwedge{} v \mdownarrow{}\mmember{} class-le-before(X;es;e)))
Date html generated:
2015_07_17-PM-00_28_52
Last ObjectModification:
2015_01_27-PM-11_32_56
Home
Index