Nuprl Lemma : simple-loc-comb-2-concat-disjoint-classrel1
[T,A,B,C:
']. [es:EO']. [X:EClass'(A)]. [Y:EClass'(B)]. [Z:EClass'(C)]. [f:Id 
A B bag(T)].
(disjoint-classrel(es;A;X;C;Z) 
disjoint-classrel(es;T;f@Loc|Loc,X, Y|;C;Z))
Proof not projected
Definitions occuring in Statement :
concat-lifting-loc-2: f@Loc,
Message: Message,
simple-loc-comb-2: F|Loc,X, Y|,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: [x:A]. B[x],
implies: P Q,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
implies: P Q,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
all: x:A. B[x],
or: P 
Q,
not: 
A,
member: t 
T,
false: False,
so_lambda: 
x.t[x],
guard: {T},
uimplies: b supposing a,
squash: 
T,
exists: 
x:A. B[x],
and: P 
Q,
uiff: uiff(P;Q),
so_apply: x[s],
prop: 
,
subtype: S 
T
Lemmas :
simple-loc-comb-2-concat-classrel,
all_wf,
not_wf,
classrel_wf,
simple-loc-comb-2_wf,
concat-lifting-loc-2_wf,
es-E_wf,
event-ordering+_inc,
disjoint-classrel_wf,
Message_wf,
Id_wf,
bag_wf,
event-ordering+_wf
\mforall{}[T,A,B,C:\mBbbU{}']. \mforall{}[es:EO']. \mforall{}[X:EClass'(A)]. \mforall{}[Y:EClass'(B)]. \mforall{}[Z:EClass'(C)]. \mforall{}[f:Id
{}\mrightarrow{} A
{}\mrightarrow{} B
{}\mrightarrow{} bag(T)].
(disjoint-classrel(es;A;X;C;Z) {}\mRightarrow{} disjoint-classrel(es;T;f@Loc|Loc,X, Y|;C;Z))
Date html generated:
2012_01_23-PM-01_24_11
Last ObjectModification:
2012_01_12-AM-01_08_47
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