Nuprl Lemma : disjoint-union-class-es-sv
[A,B:
']. [es:EO']. [X:EClass'(A)]. [Y:EClass'(B)].
(es-sv-class(es;X) 
es-sv-class(es;Y) es-sv-class(es;X + Y))
Proof not projected
Definitions occuring in Statement :
disjoint-union-class: X + Y,
Message: Message,
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
implies: P Q,
universe: Type
Definitions :
guard: {T},
implies: P Q,
label: ...$L... t,
top: Top,
prop: 
,
member: t 
T,
btrue: tt,
bfalse: ff,
lt_int: i <z j,
bnot: 
b,
le_int: i 
z j,
select: l[i],
simple-comb: simple-comb(F;Xs),
ifthenelse: if b then t else f fi ,
simple-comb-2: F|X, Y|,
all: x:A. B[x],
disjoint-union-class: X + Y,
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
and: P 
Q,
uiff: uiff(P;Q),
uimplies: b supposing a,
unit: Unit,
bool: 
,
nat: 
,
uall: [x:A]. B[x],
it: 
,
subtype: S 
T
Lemmas :
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
assert-bag-null,
eqtt_to_assert,
uiff_transitivity,
event-ordering+_wf,
eclass_wf2,
nat_wf,
disjoint-union-class_wf,
bag-size_wf,
Message_wf,
es-sv-class_wf,
not_wf,
bnot_wf,
bag-size-map,
empty-bag_wf,
bag_wf,
equal_wf,
assert_wf,
bool_wf,
bag-null_wf,
event-ordering+_inc,
es-E_wf
\mforall{}[A,B:\mBbbU{}']. \mforall{}[es:EO']. \mforall{}[X:EClass'(A)]. \mforall{}[Y:EClass'(B)].
(es-sv-class(es;X) {}\mRightarrow{} es-sv-class(es;Y) {}\mRightarrow{} es-sv-class(es;X + Y))
Date html generated:
2012_01_23-PM-01_13_20
Last ObjectModification:
2011_12_14-PM-06_40_50
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