{ 
[Info,A,B:Type]. [F:bag(A) 
bag(B) bag(B)]. [X:EClass(A)].
(x,s.F[x;s]|X, Prior(self)| 
EClass(B)) }
{ Proof }
Definitions occuring in Statement :
rec-combined-class1: x,s.F[x; s]|X, Prior(self)|,
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
so_apply: x[s1;s2],
member: t T,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
CollapseTHENA: Error :CollapseTHENA,
natural_number: $n,
lambda: 
x.A[x],
Auto: Error :Auto,
BHyp: Error :BHyp,
CollapseTHEN: Error :CollapseTHEN,
member: t T,
equal: s = t,
isect: 
x:A. B[x],
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
uall: [x:A]. B[x],
function: x:A B[x],
bag: bag(T),
universe: Type,
rec-combined-class1: x,s.F[x; s]|X, Prior(self)|,
so_apply: x[s1;s2],
apply: f a,
axiom: Ax,
all: x:A. B[x],
event-ordering+: EO+(Info),
es-E: E,
event_ordering: EO,
record+: record+,
dep-isect: Error :dep-isect,
record-select: r.x,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
token: "$token",
es-base-E: es-base-E(es),
top: Top,
atom: Atom,
eq_atom: eq_atom$n(x;y),
subtype_rel: A 
r B,
subtype: S T,
bool: 
,
rec-combined-class: f|X,(self)'|,
nil: [],
cons: [car / cdr],
select: l[i],
uimplies: b supposing a,
fpf: a:A fp-> B[a],
uiff: uiff(P;Q),
and: P 
Q,
product: x:A 
B[x],
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A 
B,
strong-subtype: strong-subtype(A;B),
int: 
,
nat: 
,
rationals: 
,
real: 
,
set: {x:A| B[x]} ,
false: False,
implies: P 
Q,
void: Void,
prop: 
,
p-outcome: Outcome,
int_seg: {i..j
},
list: type List,
length: ||as||,
label: ...$L... t,
lelt: i j < k,
quotient: x,y:A//B[x; y]
Lemmas :
top_wf,
length_wf1,
non_neg_length,
length_cons,
length_nil,
length_wf_nat,
select_wf,
int_seg_wf,
nat_wf,
false_wf,
not_wf,
le_wf,
rec-combined-class_wf,
es-E_wf,
es-base-E_wf,
subtype_rel_self,
event-ordering+_inc,
event-ordering+_wf,
bag_wf,
member_wf,
eclass_wf
\mforall{}[Info,A,B:Type]. \mforall{}[F:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass(A)].
(x,s.F[x;s]|X, Prior(self)| \mmember{} EClass(B))
Date html generated:
2011_08_16-PM-04_58_08
Last ObjectModification:
2011_06_21-PM-02_05_05
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