Nuprl Lemma : bag-member-classfun
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)].  ∀[e:E]. X(e) ↓∈ X es e supposing X is functional
Proof
Definitions occuring in Statement : 
classfun: X(e)
, 
es-functional-class: X is functional
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
apply: f a
, 
universe: Type
, 
bag-member: x ↓∈ bs
Lemmas : 
bag_wf, 
es-E_wf, 
event-ordering+_subtype, 
es-functional-class_wf, 
eclass_wf, 
event-ordering+_wf, 
bag-member-sv-bag-only, 
decidable__lt, 
bag-size_wf, 
false_wf, 
add_functionality_wrt_le, 
add-commutes, 
zero-add, 
le-add-cancel, 
le_wf, 
nat_wf, 
single-valued-bag_wf
\mforall{}[Info,T:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(T)].    \mforall{}[e:E].  X(e)  \mdownarrow{}\mmember{}  X  es  e  supposing  X  is  functional
Date html generated:
2015_07_17-PM-00_21_13
Last ObjectModification:
2015_01_27-PM-11_40_14
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