{ 
[st1,st2:SimpleType]. (st-ap(st1;st2) 
SimpleType) }
{ Proof }
Definitions occuring in Statement :
st-ap: st-ap(st1;st2),
simple_type: SimpleType,
uall: [x:A]. B[x],
member: t T
Definitions :
top: Top,
st_const: Error :st_const,
st_arrow-range: Error :st_arrow-range,
st_arrow-domain: Error :st_arrow-domain,
eq_st: eq_st(st1;st2),
false: False,
limited-type: LimitedType,
universe: Type,
prop: 
,
bfalse: ff,
btrue: tt,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
eq_bool: p =b q,
lt_int: i <z j,
le_int: i 
z j,
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,
assert: 
b,
bnot: 
b,
int: 
,
unit: Unit,
union: left + right,
implies: P Q,
bool: 
,
eclass: EClass(A[eo; e]),
fpf: a:A fp-> B[a],
rec: rec(x.A[x]),
strong-subtype: strong-subtype(A;B),
le: A B,
ge: i 
j ,
not: A,
less_than: a < b,
uimplies: b supposing a,
product: x:A 
B[x],
and: P Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
function: x:A 
B[x],
all: x:A. B[x],
st-ap: st-ap(st1;st2),
axiom: Ax,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
simple_type: Error :simple_type,
equal: s = t,
member: t T,
st_arrow?: Error :st_arrow?,
Unfold: Error :Unfold,
CollapseTHEN: Error :CollapseTHEN,
Auto: Error :Auto,
tactic: Error :tactic
Lemmas :
member_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
bnot_wf,
not_wf,
assert_wf,
Error :st_arrow?_wf,
bool_wf,
Error :simple_type_wf,
ifthenelse_wf,
eq_st_wf,
Error :st_arrow-domain_wf,
Error :st_arrow-range_wf,
Error :st_const_wf,
top_wf
\mforall{}[st1,st2:SimpleType]. (st-ap(st1;st2) \mmember{} SimpleType)
Date html generated:
2011_08_17-PM-05_00_55
Last ObjectModification:
2011_02_04-PM-03_38_29
Home
Index