Nuprl Lemma : es-closed-interval-vals_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[X:EClass(A)]. ∀[e1,e2:E]. (X[e1;e2] ∈ A List)
Proof
Definitions occuring in Statement :
es-closed-interval-vals: X[e1;e2]
,
eclass: EClass(A[eo; e])
,
event-ordering+: EO+(Info)
,
es-E: E
,
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
,
es-closed-interval-vals: X[e1;e2]
,
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
,
prop: ℙ
,
in-eclass: e ∈b X
,
eq_int: (i =z j)
,
bag-size: #(bs)
,
length: ||as||
,
list_ind: list_ind,
es-E-interface: E(X)
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[e1,e2:E]. (X[e1;e2] \mmember{} A List)
Date html generated:
2016_05_16-PM-10_26_02
Last ObjectModification:
2015_12_29-AM-11_07_58
Theory : event-ordering
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