{ 
[Info:Type]. [es:EO+(Info)]. [X,Y:EClass(Top)].
uiff(E(X) 
r E(Y);strong-subtype(E(X);E(Y))) }
{ Proof }
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
subtype_rel: A r B,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
top: Top,
universe: Type,
strong-subtype: strong-subtype(A;B)
Definitions :
bool: 
,
record: record(x.T[x]),
so_apply: x[s],
or: P 
Q,
guard: {T},
l_member: (x 
l),
in-eclass: e 
X,
assert: 
b,
list: type List,
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
rev_implies: P 
Q,
iff: P 
Q,
exists: 
x:A. B[x],
set: {x:A| B[x]} ,
prop: 
,
so_lambda: 
x.t[x],
axiom: Ax,
es-E-interface: E(X),
pair: <a, b>,
implies: P Q,
cand: A c
B,
strong-subtype: strong-subtype(A;B),
uimplies: b supposing a,
product: x:A 
B[x],
and: P Q,
uiff: uiff(P;Q),
union: left + right,
subtype: S T,
subtype_rel: A r B,
atom: Atom,
apply: f a,
token: "$token",
ifthenelse: if b then t else f fi ,
record-select: r.x,
top: Top,
event_ordering: EO,
es-E: E,
lambda: x.A[x],
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
all: x:A. B[x],
function: x:A 
B[x],
isect: 
x:A. B[x],
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
so_lambda: x y.t[x; y],
universe: Type,
member: t T,
event-ordering+: EO+(Info),
equal: s = t,
tactic: Error :tactic,
base: Base,
fpf-dom: x dom(f),
IdLnk: IdLnk,
Id: Id,
false: False,
Knd: Knd,
tag-by: zT,
fset: FSet{T},
isect2: T1 T2,
b-union: A 
B,
fpf: a:A fp-> B[a],
fpf-sub: f g,
deq: EqDecider(T),
ma-state: State(ds),
class-program: ClassProgram(T),
limited-type: LimitedType,
true: True,
btrue: tt,
sq_type: SQType(T),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
isl: isl(x),
can-apply: can-apply(f;x),
fpf-cap: f(x)?z
Lemmas :
assert_elim,
bool_wf,
bool_subtype_base,
subtype_base_sq,
subtype_rel_set,
ext-eq_inversion,
subtype_rel_sets,
false_wf,
ifthenelse_wf,
true_wf,
member_wf,
es-E-interface_wf,
subtype_rel_wf,
strong-subtype_wf,
uiff_wf,
pair_wf,
event-ordering+_wf,
event-ordering+_inc,
subtype_rel_self,
es-E_wf,
top_wf,
eclass_wf,
assert_wf,
strong-subtype-set3,
in-eclass_wf,
rev_implies_wf,
iff_wf,
uiff_inversion
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(Top)]. uiff(E(X) \msubseteq{}r E(Y);strong-subtype(E(X);E(Y)))
Date html generated:
2011_08_16-PM-04_01_24
Last ObjectModification:
2011_06_20-AM-00_36_15
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