Nuprl Lemma : simple-comb-2-es-sv
[Info,A,B,C:Type]. [es:EO+(Info)]. [F:A 
B C]. [X:EClass(A)]. [Y:EClass(B)].
(es-sv-class(es;lifting-2(F)|X, Y|)) supposing (es-sv-class(es;Y) and es-sv-class(es;X))
Proof not projected
Definitions occuring in Statement :
simple-comb-2: F|X, Y|,
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: [x:A]. B[x],
function: x:A B[x],
universe: Type,
lifting-2: lifting-2(f)
Definitions :
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
btrue: tt,
bfalse: ff,
lt_int: i <z j,
bnot: 
b,
le_int: i 
z j,
ifthenelse: if b then t else f fi ,
ycomb: Y,
label: ...$L... t,
ge: i 
j ,
and: P 
Q,
lelt: i j < k,
length: ||as||,
false: False,
not: A,
member: t 
T,
le: A B,
implies: P 
Q,
all: x:A. B[x],
int_seg: {i..j
},
nat: 
,
select: l[i],
simple-comb-2: F|X, Y|,
eq_int: (i =
j),
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
lifting-gen-rev: lifting-gen-rev(n;f;bags),
lifting2: lifting2(f;abag;bbag),
lifting-2: lifting-2(f),
top: Top,
so_apply: x[s],
so_apply: x[s1;s2],
guard: {T},
sq_type: SQType(T),
or: P 
Q,
decidable: Dec(P),
prop: 
,
uimplies: b supposing a,
uall: [x:A]. B[x],
subtype: S 
T,
eclass: EClass(A[eo; e])
Lemmas :
es-sv-class_wf,
simple-comb-2_wf,
nat_wf,
bag-size_wf,
all_wf,
bag_wf,
lelt_wf,
lifting-2_wf,
event-ordering+_wf,
event-ordering+_inc,
es-E_wf,
eclass_wf,
int_subtype_base,
subtype_base_sq,
decidable__equal_int,
int_seg_wf,
length_wf_nat,
non_neg_length,
length_cons,
length_wf_nil,
length_nil,
length_wf,
select_wf,
le_wf,
simple-comb-es-sv,
equal_wf,
and_wf,
bag-combine-empty-left,
bag-size-zero,
single-bag_wf,
bag-combine_wf,
single-valued-bag-if-le1,
bag-only_wf2,
bag-combine-single-left,
bag-size-one
\mforall{}[Info,A,B,C:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[F:A {}\mrightarrow{} B {}\mrightarrow{} C]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(es-sv-class(es;lifting-2(F)|X, Y|)) supposing (es-sv-class(es;Y) and es-sv-class(es;X))
Date html generated:
2012_02_20-PM-02_56_27
Last ObjectModification:
2012_02_07-PM-01_59_56
Home
Index