Nuprl Lemma : simple-loc-comb-3-concat-es-sv
[Info:Type]. [es:EO+(Info)]. [A,B,C:Type]. [F:Id 
A B C bag(Top)]. [X:EClass(A)]. [Y:EClass(B)].
[Z:EClass(C)].
es-sv-class(es;concat-lifting-loc-3(F)|Loc, X, Y, Z|)
supposing (i:Id. a:A. b:B. c:C. (bag-size(F i a b c) 
1))
es-sv-class(es;X)
es-sv-class(es;Y)
es-sv-class(es;Z)
Proof not projected
Definitions occuring in Statement :
concat-lifting-loc-3: concat-lifting-loc-3(f),
simple-loc-comb-3: F|Loc, X, Y, Z|,
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
le: A B,
all: x:A. B[x],
and: P Q,
apply: f a,
function: x:A B[x],
natural_number: $n,
universe: Type,
bag-size: bag-size(bs),
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
prop: 
,
cand: A c B,
member: t 
T,
eq_int: (i =
j),
ycomb: Y,
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
concat-lifting-list: concat-lifting-list(n;bags),
concat-lifting: concat-lifting(n;f;bags),
btrue: tt,
bfalse: ff,
lt_int: i <z j,
bnot: 
b,
le_int: i z j,
ifthenelse: if b then t else f fi ,
select: l[i],
concat-lifting-loc: concat-lifting-loc(n;bags;loc;f),
simple-loc-comb: F|Loc; Xs|,
concat-lifting-loc-3: concat-lifting-loc-3(f),
simple-loc-comb-3: F|Loc, X, Y, Z|,
es-sv-class: es-sv-class(es;X),
all: x:A. B[x],
and: P Q,
eclass: EClass(A[eo; e]),
false: False,
implies: P 
Q,
not: A,
le: A B,
top: Top,
append: as @ bs,
reduce: reduce(f;k;as),
concat: concat(ll),
length: ||as||,
empty-bag: {},
bag-union: bag-union(bbs),
single-bag: {x},
bag-size: bag-size(bs),
so_apply: x[s1;s2],
so_apply: x[s],
nat: 
,
uall: [x:A]. B[x],
or: P 
Q,
uimplies: b supposing a,
subtype: S 
T
Lemmas :
bag_wf,
event-ordering+_wf,
eclass_wf,
es-sv-class_wf,
le_wf,
Id_wf,
all_wf,
concat-lifting-loc-3_wf,
simple-loc-comb-3_wf,
top_wf,
event-ordering+_inc,
es-E_wf,
nat_wf,
bag-size_wf,
bag-combine-empty-left,
bag-size-zero,
bag-only_wf,
es-loc_wf,
single-bag_wf,
bag-combine_wf,
bag-combine-single-left,
bag-size-one
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B,C:Type]. \mforall{}[F:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} C {}\mrightarrow{} bag(Top)]. \mforall{}[X:EClass(A)].
\mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(C)].
es-sv-class(es;concat-lifting-loc-3(F)|Loc, X, Y, Z|)
supposing (\mforall{}i:Id. \mforall{}a:A. \mforall{}b:B. \mforall{}c:C. (bag-size(F i a b c) \mleq{} 1))
\mwedge{} es-sv-class(es;X)
\mwedge{} es-sv-class(es;Y)
\mwedge{} es-sv-class(es;Z)
Date html generated:
2012_01_23-PM-01_15_40
Last ObjectModification:
2011_12_14-PM-06_28_15
Home
Index