Nuprl Lemma : simple-comb-1-disjoint-classrel
[T,A,B:
']. [es:EO']. [X:EClass'(A)]. [Y:EClass'(B)]. [f:A 
T].
(disjoint-classrel(es;A;X;B;Y) 
disjoint-classrel(es;T;lifting-1(f)|X|;B;Y))
Proof not projected
Definitions occuring in Statement :
Message: Message,
simple-comb-1: F|X|,
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,
function: x:A B[x],
universe: Type,
lifting-1: lifting-1(f)
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-comb-1-classrel,
all_wf,
not_wf,
classrel_wf,
simple-comb-1_wf,
lifting-1_wf,
es-E_wf,
event-ordering+_inc,
disjoint-classrel_wf,
Message_wf,
event-ordering+_wf,
bag_wf
\mforall{}[T,A,B:\mBbbU{}']. \mforall{}[es:EO']. \mforall{}[X:EClass'(A)]. \mforall{}[Y:EClass'(B)]. \mforall{}[f:A {}\mrightarrow{} T].
(disjoint-classrel(es;A;X;B;Y) {}\mRightarrow{} disjoint-classrel(es;T;lifting-1(f)|X|;B;Y))
Date html generated:
2012_01_23-PM-01_23_38
Last ObjectModification:
2012_01_11-PM-07_40_59
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