{ 
[compList:(pi_prefix() 
Pi_term) List]. (pi-rank-choices(compList) 
) }
{ Proof }
Definitions occuring in Statement :
pi-rank-choices: pi-rank-choices(compList),
pi_term: Pi_term,
pi_prefix: pi_prefix(),
nat: ,
uall: [x:A]. B[x],
member: t T,
product: x:A B[x],
list: type List
Definitions :
uall: [x:A]. B[x],
member: t T,
nat: ,
pi-rank-choices: pi-rank-choices(compList),
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
prop: 
,
le: A 
B,
not: 
A,
false: False,
bfalse: ff,
top: Top,
subtype: S 
T,
so_lambda: 
x.t[x],
or: P 
Q,
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
rev_implies: P Q,
uimplies: b supposing a,
so_apply: x[s],
length: ||as||,
ycomb: Y,
it: 
Lemmas :
eq_int_wf,
length_wf1,
pi_prefix_wf,
pi_term_wf,
bool_wf,
iff_weakening_uiff,
uiff_transitivity,
assert_wf,
eqtt_to_assert,
assert_of_eq_int,
le_wf,
not_wf,
bnot_wf,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_uiff,
imax-list_wf,
nat_wf,
map_wf,
pi-rank_wf,
non_neg_length,
map_length,
length_wf_nat,
top_wf,
imax-list-ub,
pi2_wf,
l_exists_map,
l_exists_cons,
l_exists_wf,
l_member_wf
\mforall{}[compList:(pi\_prefix() \mtimes{} Pi\_term) List]. (pi-rank-choices(compList) \mmember{} \mBbbN{})
Date html generated:
2011_08_17-PM-06_48_30
Last ObjectModification:
2011_06_18-PM-12_20_54
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