{ 
[dv:ClassDerivation]. (||cdv-types(dv)|| 
1 ) }
{ Proof }
Definitions occuring in Statement :
cdv-types: cdv-types(dv),
classderiv: ClassDerivation,
length: ||as||,
uall: [x:A]. B[x],
ge: i j ,
natural_number: $n
Definitions :
natural_number: $n,
strong-subtype: strong-subtype(A;B),
rec: rec(x.A[x]),
l_member: (x 
l),
universe: Type,
cdv-types: cdv-types(dv),
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
isect: 
x:A. B[x],
prop: 
,
uall: [x:A]. B[x],
all: x:A. B[x],
equal: s = t,
lambda: 
x.A[x],
member: t T,
classderiv: ClassDerivation,
false: False,
void: Void,
less_than: a < b,
length: ||as||,
ge: i j ,
le: A 
B,
not: 
A,
implies: P 
Q,
function: x:A 
B[x],
tactic: Error :tactic,
cdvreccomb-typ: cdvreccomb-typ(x),
cdvreccomb-argtype: cdvreccomb-argtype(x),
cdvreccomb-arg: cdvreccomb-arg(x),
classderiv_ind_cdvreccomb: classderiv_ind_cdvreccomb_compseq_tag_def,
cdvreccomb-fun: cdvreccomb-fun(x),
cdvreccomb: cdvreccomb(typ;argtype;arg;fun),
cdvcomb-typ: cdvcomb-typ(x),
cdvcomb-argtype: cdvcomb-argtype(x),
cdvcomb-arg: cdvcomb-arg(x),
classderiv_ind_cdvcomb: classderiv_ind_cdvcomb_compseq_tag_def,
cdvcomb-fun: cdvcomb-fun(x),
cdvcomb: cdvcomb(typ;argtype;arg;fun),
union: left + right,
cdvdelay-X: cdvdelay-X(x),
classderiv_ind_cdvdelay: classderiv_ind_cdvdelay_compseq_tag_def,
cdvdelay-dummy: cdvdelay-dummy(x),
cdvdelay: cdvdelay(X;dummy),
unit: Unit,
add: n + m,
subtype: S T,
top: Top,
sqequal: s ~ t,
append: as @ bs,
cdvpair-fst: cdvpair-fst(x),
classderiv_ind_cdvpair: classderiv_ind_cdvpair_compseq_tag_def,
cdvpair-snd: cdvpair-snd(x),
cdvpair: cdvpair(fst;snd),
cdvbase?: cdvbase?(x),
cdvpair?: cdvpair?(x),
cdvdelay?: cdvdelay?(x),
cdvcomb?: cdvcomb?(x),
cdvreccomb?: cdvreccomb?(x),
classderiv_ind_cdvbase: classderiv_ind_cdvbase_compseq_tag_def,
cdvbase-args: cdvbase-args(x),
list: type List,
name: Name,
cdvbase: cdvbase(args),
base-deriv: BaseDef,
so_lambda: 
x.t[x],
guard: {T},
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
Try: Error :Try
Lemmas :
unit_wf,
top_wf,
member_wf,
length-append,
append_wf,
cdvpair_wf,
base-deriv_wf,
cdvbase_wf,
classderiv-induction,
cdvdelay_wf,
cdvcomb_wf,
cdvreccomb_wf,
classderiv_wf,
ge_wf,
le_wf,
not_wf,
false_wf,
pos_length3,
length_wf1,
cdv-types_wf
\mforall{}[dv:ClassDerivation]. (||cdv-types(dv)|| \mgeq{} 1 )
Date html generated:
2011_08_17-PM-04_26_53
Last ObjectModification:
2011_06_18-AM-11_39_15
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