{ 
[Info,A,B,C:Type]. [f:A 
B bag(C)]. [X:EClass(A)]. [Y:EClass(B)].
[es:EO+(Info)]. [e:E]. [v:C].
uiff(v 
a,b.concat-lifting2(f;a;b)|X;Y|(e);
a:A
b:B
(a X(e)
b Y(e)
bag-member(C;v;f a b))) }
{ Proof }
Definitions occuring in Statement :
concat-lifting2: concat-lifting2(f;abag;bbag),
simple-comb2: x,y.F[x; y]|X;Y|,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
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: bag-member(T;x;bs),
bag: bag(T)
Lemmas :
simple-comb_wf,
uiff_wf,
true_wf,
bag_qinc,
l_member_wf,
pos_length2,
single-bag_wf,
bag-combine_wf,
bag-member-union,
bag-member-combine,
bag-member-single,
rev_implies_wf,
iff_wf,
permutation_wf,
intensional-universe_wf,
subtype_rel_self,
es-base-E_wf,
int_seg_properties,
es-interface-subtype_rel2,
decidable__equal_int,
int_subtype_base,
not_wf,
le_wf,
false_wf,
select_wf,
es-E_wf,
event-ordering+_wf,
eclass_wf,
event-ordering+_inc,
int_seg_wf,
length_wf_nat,
top_wf,
length_wf1,
non_neg_length,
length_cons,
length_nil,
member_wf,
nat_wf,
simple-comb-concat-classrel,
bag_wf,
subtype_rel_wf,
es-interface-top,
subtype_base_sq,
concat-lifting2_wf,
bag-member_wf,
squash_wf,
simple-comb2_wf,
classrel_wf
\mforall{}[Info,A,B,C:Type]. \mforall{}[f: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{} \mlambda{}a,b.concat-lifting2(f;a;b)|X;Y|(e);\mdownarrow{}\mexists{}a:A
\mexists{}b:B
(a \mmember{} X(e) \mwedge{} b \mmember{} Y(e) \mwedge{} bag-member(C;v;f a b)))
Date html generated:
2011_08_17-PM-06_20_32
Last ObjectModification:
2011_08_01-PM-12_44_54
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