Nuprl Lemma : es-interface-predecessors_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E]. (≤(X)(e) ∈ {a:E(X)| loc(a) = loc(e) ∈ Id} List)
Proof
Definitions occuring in Statement :
es-interface-predecessors: ≤(X)(e)
,
es-E-interface: E(X)
,
eclass: EClass(A[eo; e])
,
event-ordering+: EO+(Info)
,
es-loc: loc(e)
,
es-E: E
,
Id: Id
,
list: T List
,
uall: ∀[x:A]. B[x]
,
top: Top
,
member: t ∈ T
,
set: {x:A| B[x]}
,
universe: Type
,
equal: s = t ∈ T
Lemmas :
es-E_wf,
event-ordering+_subtype,
eclass_wf,
top_wf,
event-ordering+_wf,
filter_type,
Id_wf,
es-loc_wf,
in-eclass_wf,
es-le-before_wf,
subtype_rel_list_set,
es-E-interface_wf,
assert_wf,
subtype_rel_nested_set2,
equal_wf,
subtype_rel_sets,
set_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E]. (\mleq{}(X)(e) \mmember{} \{a:E(X)| loc(a) = loc(e)\} List\000C)
Date html generated:
2015_07_20-PM-03_41_51
Last ObjectModification:
2015_01_27-PM-10_13_13
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