Nuprl Lemma : causal-class-relation_wf
[Info,A,B:Type]. [R:A 
B 
]. [X:EClass(A)]. [Y:EClass(B)]. [es:EO+(Info)].
(for every a in X there is an
earlier b in Y such that
R[a;b] 
)
Proof not projected
Definitions occuring in Statement :
causal-class-relation: causal-class-relation,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
prop: ,
member: t T,
causal-class-relation: causal-class-relation,
so_apply: x[s1;s2],
implies: P 
Q,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
all: x:A. B[x],
so_apply: x[s],
subtype: S 
T
Lemmas :
all_wf,
es-E_wf,
event-ordering+_inc,
classrel_wf,
squash_wf,
exists_wf,
and_wf,
es-causl_wf,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,A,B:Type]. \mforall{}[R:A {}\mrightarrow{} B {}\mrightarrow{} \mBbbP{}]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
(for every a in X there is an
earlier b in Y such that
R[a;b] \mmember{} \mBbbP{})
Date html generated:
2012_01_23-PM-12_16_50
Last ObjectModification:
2012_01_21-PM-02_55_07
Home
Index