{ 
[fst,snd:SimpleType]. (st_prod(fst;snd) 
SimpleType) }
{ Proof }
Definitions occuring in Statement :
st_prod: st_prod(fst;snd),
simple_type: SimpleType,
uall: [x:A]. B[x],
member: t T
Definitions :
tag-by: z
T,
ldag: LabeledDAG(T),
labeled-graph: LabeledGraph(T),
record+: record+,
record: record(x.T[x]),
fset: FSet{T},
dataflow: dataflow(A;B),
isect2: T1 
T2,
b-union: A 
B,
rev_implies: P 
Q,
or: P 
Q,
implies: P 
Q,
iff: P Q,
bag: bag(T),
list: type List,
set: {x:A| B[x]} ,
top: Top,
true: True,
prop: 
,
so_lambda: 
x.t[x],
type-monotone: Monotone(T.F[T]),
eclass: EClass(A[eo; e]),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
decision: Decision,
function: x:A 
B[x],
all: x:A. B[x],
axiom: Ax,
pair: <a, b>,
inl: inl x ,
simple_type: SimpleType,
st_prod: st_prod(fst;snd),
uall: [x:A]. B[x],
isect: x:A. B[x],
member: t T,
equal: s = t,
rec: rec(x.A[x]),
atom: Atom,
universe: Type,
product: x:A B[x],
union: left + right,
inr: inr x
Lemmas :
subtype_rel_sum,
subtype_rel_simple_product,
subtype_rel_wf,
uall_wf,
type-monotone_wf,
member_wf
\mforall{}[fst,snd:SimpleType]. (st\_prod(fst;snd) \mmember{} SimpleType)
Date html generated:
2011_08_17-PM-04_40_51
Last ObjectModification:
2011_02_06-PM-04_01_25
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