Nuprl Lemma : es-le-linorder
es:EO. i:Id. Linorder({e:E| loc(e) = i} ;a,b.a 
loc b )
Proof not projected
Definitions occuring in Statement :
es-le: e loc e' ,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
linorder: Linorder(T;x,y.R[x; y]),
all: x:A. B[x],
set: {x:A| B[x]} ,
equal: s = t
Definitions :
prop: 
,
member: t 
T,
guard: {T},
cand: A c
B,
implies: P 
Q,
or: P 
Q,
anti_sym: AntiSym(T;x,y.R[x; y]),
trans: Trans(T;x,y.E[x; y]),
refl: Refl(T;x,y.E[x; y]),
connex: Connex(T;x,y.R[x; y]),
order: Order(T;x,y.R[x; y]),
and: P Q,
es-le: e loc e' ,
linorder: Linorder(T;x,y.R[x; y]),
all: x:A. B[x],
uall: [x:A]. B[x],
false: False,
uimplies: b supposing a
Lemmas :
event_ordering_wf,
es-le_wf,
es-le_transitivity,
es-loc_wf,
Id_wf,
es-E_wf,
es-locl_wf,
es-locl_irreflexivity,
es-locl_transitivity2,
es-le-total
\mforall{}es:EO. \mforall{}i:Id. Linorder(\{e:E| loc(e) = i\} ;a,b.a \mleq{}loc b )
Date html generated:
2012_01_23-PM-12_09_10
Last ObjectModification:
2011_12_13-AM-10_34_28
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