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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