Nuprl Lemma : disjoint-classrel-symm
[Info,A,B:Type]. [X:EClass(A)]. [Y:EClass(B)]. [es:EO+(Info)].
(disjoint-classrel(es;B;Y;A;X) 
disjoint-classrel(es;A;X;B;Y))
Proof not projected
Definitions occuring in Statement :
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
implies: P Q,
universe: Type
Definitions :
uall: [x:A]. B[x],
implies: P Q,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
all: x:A. B[x],
or: P 
Q,
member: t 
T,
guard: {T},
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
so_apply: x[s],
so_apply: x[s1;s2],
prop: 
,
subtype: S 
T
Lemmas :
all_wf,
not_wf,
classrel_wf,
es-E_wf,
event-ordering+_inc,
disjoint-classrel_wf,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
(disjoint-classrel(es;B;Y;A;X) {}\mRightarrow{} disjoint-classrel(es;A;X;B;Y))
Date html generated:
2012_01_23-PM-12_17_53
Last ObjectModification:
2012_01_11-PM-07_30_32
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