Nuprl Lemma : parallel-bag-class_wf
∀[B,Info,T:Type]. ∀[X:T ⟶ EClass(B)]. ∀[as:bag(T)].  ((||a∈as.X[a]) ∈ EClass(B))
Proof
Definitions occuring in Statement : 
parallel-bag-class: (||a∈as.X[a])
, 
eclass: EClass(A[eo; e])
, 
uall: ∀[x:A]. B[x]
, 
so_apply: x[s]
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
, 
universe: Type
, 
bag: bag(T)
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
parallel-bag-class: (||a∈as.X[a])
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
so_lambda: λ2x y.t[x; y]
, 
subtype_rel: A ⊆r B
, 
so_apply: x[s1;s2]
Latex:
\mforall{}[B,Info,T:Type].  \mforall{}[X:T  {}\mrightarrow{}  EClass(B)].  \mforall{}[as:bag(T)].    ((||a\mmember{}as.X[a])  \mmember{}  EClass(B))
Date html generated:
2016_05_16-PM-02_29_31
Last ObjectModification:
2015_12_29-AM-11_38_25
Theory : event-ordering
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