{ 
[Info:Type]. [n:
]. [A:n 
Type]. [X:i:n EClass(A i)]. [T:Type].
[f:Id i:n bag(A i) bag(T) bag(T)]. [init:Id bag(T)].
(rec-comb(X;f;init) 
EClass(T)) }
{ Proof }
Definitions occuring in Statement :
rec-comb: rec-comb(X;f;init),
eclass: EClass(A[eo; e]),
Id: Id,
int_seg: {i..j
},
nat: ,
uall: [x:A]. B[x],
member: t T,
apply: f a,
function: x:A B[x],
natural_number: $n,
universe: Type,
bag: bag(T)
Lemmas :
top_wf,
member_wf,
event-ordering+_wf,
nat_wf,
int_seg_wf,
event-ordering+_inc,
es-E_wf,
eclass_wf,
bag_wf,
Id_wf,
es-loc_wf,
es-causl-swellfnd,
nat_properties,
ge_wf,
le_wf,
es-causl_wf,
es-local-pred_wf,
assert_wf,
not_wf,
es-locl_wf,
lt_int_wf,
bag-size_wf,
subtype_rel_wf,
bool_wf,
es-local-pred_wf2,
false_wf,
es-base-E_wf,
subtype_rel_self,
intensional-universe_wf
\mforall{}[Info:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[X:i:\mBbbN{}n {}\mrightarrow{} EClass(A i)]. \mforall{}[T:Type]. \mforall{}[f:Id
{}\mrightarrow{} i:\mBbbN{}n {}\mrightarrow{} bag(A i)
{}\mrightarrow{} bag(T)
{}\mrightarrow{} bag(T)].
\mforall{}[init:Id {}\mrightarrow{} bag(T)].
(rec-comb(X;f;init) \mmember{} EClass(T))
Date html generated:
2011_08_16-PM-04_50_58
Last ObjectModification:
2011_07_23-AM-01_38_56
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