Nuprl Lemma : simple-loc-comb-2-concat-classrel
[Info,A,B,C:Type]. [f:Id 
A B bag(C)]. [X:EClass(A)]. [Y:EClass(B)]. [es:EO+(Info)]. [e:E]. [v:C].
uiff(v 
f@Loc|Loc,X, Y|(e);
a:A. b:B. (a X(e) 
b Y(e) v f loc(e) a b))
Proof not projected
Definitions occuring in Statement :
concat-lifting-loc-2: f@Loc,
simple-loc-comb-2: F|Loc,X, Y|,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
exists: x:A. B[x],
squash: T,
and: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
bag-member: x bs,
bag: bag(T)
Definitions :
simple-loc-comb-2: F|Loc,X, Y|,
concat-lifting-loc-2: f@Loc,
member: t T,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
uall: [x:A]. B[x],
simple-loc-comb2: simple-loc-comb2(l,a,b.F[l; a; b];X;Y),
so_apply: x[s],
all: x:A. B[x],
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
simple-loc-comb2-concat-classrel,
classrel_wf,
simple-loc-comb-2_wf,
concat-lifting-loc-2_wf,
squash_wf,
exists_wf,
and_wf,
bag-member_wf,
es-loc_wf,
event-ordering+_inc,
es-E_wf,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf
\mforall{}[Info,A,B,C:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} bag(C)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
\mforall{}[e:E]. \mforall{}[v:C].
uiff(v \mmember{} f@Loc|Loc,X, Y|(e);\mdownarrow{}\mexists{}a:A. \mexists{}b:B. (a \mmember{} X(e) \mwedge{} b \mmember{} Y(e) \mwedge{} v \mdownarrow{}\mmember{} f loc(e) a b))
Date html generated:
2012_01_23-PM-01_10_12
Last ObjectModification:
2011_12_30-PM-08_19_28
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