{ 
[A,B:Type]. [f:A 
B]. [b:bag(A)]. (lifting1(f;b) 
bag(B)) }
{ Proof }
Definitions occuring in Statement :
lifting1: lifting1(f;b),
uall: [x:A]. B[x],
member: t T,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
natural_number: $n,
lambda: 
x.A[x],
Try: Error :Try,
Unfold: Error :Unfold,
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
equal: s = t,
universe: Type,
member: t T,
function: x:A B[x],
bag: bag(T),
lifting1: lifting1(f;b),
axiom: Ax,
isect: 
x:A. B[x],
uall: [x:A]. B[x],
all: x:A. B[x],
lifting-gen-rev: lifting-gen-rev(n;f;bags),
funtype: funtype(n;A;T),
subtype_rel: A 
r B,
uiff: uiff(P;Q),
and: P 
Q,
product: x:A 
B[x],
uimplies: b supposing a,
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A 
B,
strong-subtype: strong-subtype(A;B),
quotient: x,y:A//B[x; y],
fpf: a:A fp-> B[a],
eclass: EClass(A[eo; e]),
int: 
,
nat: 
,
subtype: S T,
rationals: 
,
real: 
,
set: {x:A| B[x]} ,
false: False,
implies: P 
Q,
void: Void,
prop: 
,
p-outcome: Outcome,
int_seg: {i..j
},
primrec: primrec(n;b;c),
apply: f a,
ycomb: Y,
sqequal: s ~ t,
top: Top,
eq_int: (i =
j)
Lemmas :
ycomb-unroll,
subtype_rel_wf,
funtype_wf,
member_wf,
int_seg_wf,
le_wf,
nat_wf,
false_wf,
not_wf,
lifting-gen-rev_wf,
bag_wf
\mforall{}[A,B:Type]. \mforall{}[f:A {}\mrightarrow{} B]. \mforall{}[b:bag(A)]. (lifting1(f;b) \mmember{} bag(B))
Date html generated:
2011_08_17-PM-05_59_24
Last ObjectModification:
2011_06_01-AM-00_13_43
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