Nuprl Lemma : member-interface-predecessors2
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀e:E. ∀e':E(X). ((e' ∈ ≤(X)(e)) ⇒ e' ≤loc e )
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-le: e ≤loc e' ,
es-E: E,
l_member: (x ∈ l),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type
Lemmas :
l_member_wf,
es-E-interface_wf,
es-interface-predecessors_wf,
subtype_rel_list,
Id_wf,
es-loc_wf,
event-ordering+_subtype,
es-E_wf,
eclass_wf,
top_wf,
event-ordering+_wf,
less_than_wf,
length_wf,
filter_wf5,
es-le-before_wf,
set_wf,
in-eclass_wf,
select_wf,
sq_stable__le,
equal_wf,
member_filter,
es-le-before_wf2,
es-le_wf,
member-es-le-before
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E. \mforall{}e':E(X). ((e' \mmember{} \mleq{}(X)(e)) {}\mRightarrow{} e' \mleq{}loc e )
Date html generated:
2015_07_21-PM-03_36_17
Last ObjectModification:
2015_01_27-PM-06_31_32
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