Nuprl Lemma : sq_stable__iterated_classrel
[Info,A,S:Type]. [init:Id 
bag(S)]. [f:A S S]. [X:EClass(A)]. [es:EO+(Info)]. [e:E]. [v:S].
SqStable(v 
X*(f,init,e))
Proof not projected
Definitions occuring in Statement :
iterated_classrel: v X*(f,init,e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
sq_stable: SqStable(P),
uall: [x:A]. B[x],
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
uall: [x:A]. B[x],
iterated_classrel: v X*(f,init,e),
ycomb: Y,
member: t T,
so_lambda: 
x y.t[x; y],
prop: 
,
exists: 
x:A. B[x],
and: P 
Q,
ifthenelse: if b then t else f fi ,
or: P 
Q,
all: x:A. B[x],
so_lambda: x.t[x],
cand: A c B,
implies: P 
Q,
btrue: tt,
bfalse: ff,
so_apply: x[s1;s2],
so_apply: x[s],
bool: 
,
unit: Unit,
uimplies: b supposing a,
uiff: uiff(P;Q),
subtype: S 
T,
it: 
Lemmas :
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf,
sq_stable__squash,
exists_wf,
es-first_wf,
bool_wf,
eqtt_to_assert,
bag-member_wf,
es-loc_wf,
uiff_transitivity,
equal_wf,
assert_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
iterated_classrel_wf,
es-pred_wf,
or_wf,
classrel_wf,
all_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{}[v:S].
SqStable(v \mmember{} X*(f,init,e))
Date html generated:
2012_01_23-PM-12_19_24
Last ObjectModification:
2012_01_09-PM-03_20_52
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