Nuprl Lemma : simple-comb-1-es-sv
[Info:Type]. [es:EO+(Info)]. [A,B:Type]. [F:A 
B]. [X:EClass(A)].
es-sv-class(es;lifting-1(F)|X|) supposing es-sv-class(es;X)
Proof not projected
Definitions occuring in Statement :
simple-comb-1: F|X|,
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-1: lifting-1(f)
Definitions :
eclass: EClass(A[eo; e]),
es-sv-class: es-sv-class(es;X),
simple-comb-1: F|X|,
lifting-1: lifting-1(f),
all: x:A. B[x],
member: t 
T,
simple-comb: simple-comb(F;Xs),
lifting1: lifting1(f;b),
select: l[i],
lifting-gen-rev: lifting-gen-rev(n;f;bags),
ifthenelse: if b then t else f fi ,
le_int: i 
z j,
bnot: 
b,
lt_int: i <z j,
bfalse: ff,
btrue: tt,
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
ycomb: Y,
eq_int: (i =
j),
so_lambda: 
x y.t[x; y],
le: A B,
not: A,
implies: P 
Q,
false: False,
so_lambda: x.t[x],
and: P 
Q,
or: P 
Q,
uall: [x:A]. B[x],
nat: 
,
so_apply: x[s1;s2],
uimplies: b supposing a,
so_apply: x[s],
subtype: S 
T
Lemmas :
bag-size_wf,
nat_wf,
es-E_wf,
event-ordering+_inc,
simple-comb-1_wf,
lifting-1_wf,
es-sv-class_wf,
eclass_wf,
event-ordering+_wf,
bag-size-zero,
bag-size-one,
bag-combine-single-left,
single-bag_wf,
bag-only_wf2,
single-valued-bag-if-le1
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[F:A {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
es-sv-class(es;lifting-1(F)|X|) supposing es-sv-class(es;X)
Date html generated:
2012_01_23-PM-01_17_30
Last ObjectModification:
2012_01_11-PM-06_40_19
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