Nuprl Lemma : eclass-vals_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[X:EClass(A)]. ∀[L:E(X) List]. (X(L) ∈ A List)
Proof
Definitions occuring in Statement :
eclass-vals: X(L),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eclass-vals: X(L),
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
all: ∀x:A. B[x],
top: Top,
es-E-interface: E(X),
sq_type: SQType(T),
implies: P ⇒ Q,
guard: {T},
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
true: True
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[L:E(X) List]. (X(L) \mmember{} A List)
Date html generated:
2016_05_16-PM-10_23_54
Last ObjectModification:
2015_12_29-AM-11_09_51
Theory : event-ordering
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