{ 
[st:SimpleType]. (st-rank(st) 
) }
{ Proof }
Definitions occuring in Statement :
st-rank: st-rank(st),
simple_type: SimpleType,
nat: ,
uall: [x:A]. B[x],
member: t T
Definitions :
lt_int: i <z j,
bfalse: ff,
limited-type: LimitedType,
btrue: tt,
eq_int: (i =
j),
eq_atom: x =a y,
null: null(as),
set_blt: a <
b,
grp_blt: a < b,
apply: f a,
infix_ap: x f y,
dcdr-to-bool: [d],
bl-all: (xL.P[x])_b,
bl-exists: (
xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
eq_atom: eq_atom$n(x;y),
qeq: qeq(r;s),
q_less: q_less(r;s),
q_le: q_le(r;s),
deq-member: deq-member(eq;x;L),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
eq_id: a = b,
eq_lnk: a = b,
es-eq-E: e = e',
es-bless: e <loc e',
es-ble: e 
loc e',
bimplies: p 
q,
band: p 
q,
bor: p 
q,
le_int: i z j,
assert: 
b,
bnot: 
b,
unit: Unit,
union: left + right,
bool: 
,
grp_car: |g|,
imax: imax(a;b),
add: n + m,
p-outcome: Outcome,
rec: rec(x.A[x]),
strong-subtype: strong-subtype(A;B),
ge: i 
j ,
uimplies: b supposing a,
product: x:A 
B[x],
and: P Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
prop: 
,
less_than: a < b,
void: Void,
implies: P Q,
false: False,
not: A,
le: A B,
set: {x:A| B[x]} ,
real: 
,
rationals: 
,
subtype: S T,
int: 
,
natural_number: $n,
universe: Type,
atom: Atom,
lambda: 
x.A[x],
so_lambda: 
x.t[x],
so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]),
so_lambda: x y.t[x; y],
nat: ,
axiom: Ax,
st-rank: st-rank(st),
simple_type: SimpleType,
equal: s = t,
member: t T,
simple_type_ind: simple_type_ind,
all: x:A. B[x],
function: x:A 
B[x],
isect: 
x:A. B[x],
uall: [x:A]. B[x],
CollapseTHEN: Error :CollapseTHEN
Lemmas :
le_wf,
member_wf,
nat_wf,
false_wf,
not_wf,
simple_type_wf,
simple_type_ind_wf,
imax_wf,
bool_wf,
uiff_transitivity,
eqtt_to_assert,
assert_of_le_int,
assert_wf,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_le_int,
assert_of_lt_int,
lt_int_wf,
bnot_wf,
le_int_wf
\mforall{}[st:SimpleType]. (st-rank(st) \mmember{} \mBbbN{})
Date html generated:
2011_08_17-PM-04_51_01
Last ObjectModification:
2011_02_06-PM-08_54_31
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