{ 
[x:ClassDerivation]
    cdvreccomb-fun(x) 
 cdvreccomb-argtype(x)
                        
 bag(cdvreccomb-typ(x))
                        
 bag(cdvreccomb-typ(x)) 
    supposing 
cdvreccomb?(x) }
{ Proof }
Definitions occuring in Statement : 
cdvreccomb-fun: cdvreccomb-fun(x), 
cdvreccomb-argtype: cdvreccomb-argtype(x), 
cdvreccomb-typ: cdvreccomb-typ(x), 
cdvreccomb?: cdvreccomb?(x), 
classderiv: ClassDerivation, 
assert:
b, 
uimplies: b supposing a, 
uall:
[x:A]. B[x], 
member: t 
 T, 
function: x:A 
 B[x], 
bag: bag(T)
Definitions : 
true: True, 
natural_number: $n, 
classderiv_ind: classderiv_ind, 
apply: f a, 
it:
, 
false: False, 
classderiv_ind_cdvreccomb: classderiv_ind_cdvreccomb_compseq_tag_def, 
classderiv_ind_cdvcomb: classderiv_ind_cdvcomb_compseq_tag_def, 
classderiv_ind_cdvdelay: classderiv_ind_cdvdelay_compseq_tag_def, 
classderiv_ind_cdvpair: classderiv_ind_cdvpair_compseq_tag_def, 
classderiv_ind_cdvbase: classderiv_ind_cdvbase_compseq_tag_def, 
int:
, 
unit: Unit, 
set: {x:A| B[x]} , 
product: x:A 
 B[x], 
universe: Type, 
base-deriv: BaseDef, 
union: left + right, 
rec: rec(x.A[x]), 
implies: P 
 Q, 
all:
x:A. B[x], 
cdvreccomb?: cdvreccomb?(x), 
uall:
[x:A]. B[x], 
cdvreccomb-argtype: cdvreccomb-argtype(x), 
function: x:A 
 B[x], 
bag: bag(T), 
cdvreccomb-typ: cdvreccomb-typ(x), 
cdvreccomb-fun: cdvreccomb-fun(x), 
classderiv: ClassDerivation, 
axiom: Ax, 
uimplies: b supposing a, 
isect:
x:A. B[x], 
assert:
b, 
prop:
, 
member: t 
 T, 
equal: s = t
Lemmas : 
assert_wf, 
cdvreccomb?_wf, 
classderiv_wf, 
false_wf, 
true_wf
\mforall{}[x:ClassDerivation]
    cdvreccomb-fun(x)  \mmember{}  cdvreccomb-argtype(x)  {}\mrightarrow{}  bag(cdvreccomb-typ(x))  {}\mrightarrow{}  bag(cdvreccomb-typ(x)) 
    supposing  \muparrow{}cdvreccomb?(x)
Date html generated:
2011_08_17-PM-04_26_31
Last ObjectModification:
2011_06_18-AM-11_38_51
Home
Index