Nuprl Lemma : es-cut-at-property1
[Info:Type]
es:EO+(Info). X:EClass(Top). f:sys-antecedent(es;X). c:Cut(X;f). i:Id.
(no_repeats(E(X);c(i)) 
sorted-by(
x,y.x 
loc y ;c(i)))
Proof not projected
Definitions occuring in Statement :
es-cut-at: c(i),
es-cut: Cut(X;f),
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e loc e' ,
Id: Id,
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
and: P Q,
lambda: x.A[x],
universe: Type,
no_repeats: no_repeats(T;l),
sorted-by: sorted-by(R;L)
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
member: t 
T,
so_lambda: 
x y.t[x; y],
and: P Q,
es-E-interface: E(X),
subtype: S 
T,
prop: 
,
es-cut: Cut(X;f),
uimplies: b supposing a,
so_apply: x[s1;s2],
es-cut-at: c(i)
Lemmas :
subtype_rel_fset,
es-E-interface_wf,
es-E_wf,
event-ordering+_inc,
es-E-interface-strong-subtype,
es-fset-at-property,
Id_wf,
es-cut_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
event-ordering+_wf,
assert_wf,
in-eclass_wf,
no_repeats-subtype,
es-cut-at_wf,
es-loc_wf
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:sys-antecedent(es;X). \mforall{}c:Cut(X;f). \mforall{}i:Id.
(no\_repeats(E(X);c(i)) \mwedge{} sorted-by(\mlambda{}x,y.x \mleq{}loc y ;c(i)))
Date html generated:
2012_01_23-PM-12_28_24
Last ObjectModification:
2011_12_31-AM-11_10_32
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