Nuprl Lemma : prior_iterated_classrel_wf
[Info,A,S:Type]. [init:Id 
bag(S)]. [f:A S S]. [X:EClass(A)]. [es:EO+(Info)]. [e:E]. [s:S].
(s 
prior(X*(f,init,e)) 
)
Proof not projected
Definitions occuring in Statement :
prior_iterated_classrel: s prior(X*(f,init,e)),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uall: [x:A]. B[x],
prop: ,
member: t T,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
uall: [x:A]. B[x],
member: t T,
prop: ,
prior_iterated_classrel: s prior(X*(f,init,e)),
and: P 
Q,
cand: A c B,
so_lambda: 
x y.t[x; y],
all: x:A. B[x],
uimplies: b supposing a,
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
or_wf,
assert_wf,
es-first_wf,
event-ordering+_inc,
bag-member_wf,
es-loc_wf,
not_wf,
iterated_classrel_wf,
es-pred_wf,
es-E_wf,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf
\mforall{}[Info,A,S:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(S)]. \mforall{}[f:A {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}[s:S].
(s \mmember{} prior(X*(f,init,e)) \mmember{} \mBbbP{})
Date html generated:
2012_01_23-PM-12_21_42
Last ObjectModification:
2012_01_20-AM-02_49_15
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