{ 
[Info,A,B,C:Type]. [f:Id 
A B C]. [X:EClass(A)]. [Y:EClass(B)].
[es:EO+(Info)]. [e:E]. [v:C].
uiff(v 
lifting-loc-2(f)|Loc,X, Y|(e);
a:A
b:B
(a X(e)
b Y(e)
(v = (f loc(e) a b)))) }
{ Proof }
Definitions occuring in Statement :
lifting-loc-2: lifting-loc-2(f),
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,
equal: s = t
Definitions :
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN,
RepUR: Error :RepUR,
Auto: Error :Auto,
uall: [x:A]. B[x],
universe: Type,
isect: 
x:A. B[x],
set: {x:A| B[x]} ,
squash: T,
uimplies: b supposing a,
product: x:A 
B[x],
and: P Q,
uiff: uiff(P;Q),
function: x:A B[x],
Id: Id,
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
bag: bag(T),
quotient: x,y:A//B[x; y],
event-ordering+: EO+(Info),
record+: record+,
dep-isect: Error :dep-isect,
es-E: E,
event_ordering: EO,
member: t T,
equal: s = t,
all: x:A. B[x],
subtype: S 
T,
lambda: x.A[x],
lifting-loc-2: lifting-loc-2(f),
simple-loc-comb-2: F|Loc,X, Y|,
simple-loc-comb2: simple-loc-comb2(l,a,b.F[l; a; b];X;Y)
Lemmas :
simple-loc-comb2-classrel,
Id_wf,
event-ordering+_wf,
event-ordering+_inc,
es-E_wf,
eclass_wf
\mforall{}[Info,A,B,C:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} C]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}[v:C].
uiff(v \mmember{} lifting-loc-2(f)|Loc,X, Y|(e);\mdownarrow{}\mexists{}a:A. \mexists{}b:B. (a \mmember{} X(e) \mwedge{} b \mmember{} Y(e) \mwedge{} (v = (f loc(e) a b))))
Date html generated:
2011_08_17-PM-06_18_46
Last ObjectModification:
2011_06_03-AM-10_50_32
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