Nuprl Lemma : squash-iterated_classrel
[Info,A,S:Type]. [init:Id 
bag(S)]. [f:A S S]. [X:EClass(A)]. [es:EO+(Info)]. [e:E]. [v:S].
uiff(
v 
X*(f,init,e);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,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
squash: T,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
uall: [x:A]. B[x],
uiff: uiff(P;Q),
squash: T,
and: P 
Q,
uimplies: b supposing a,
member: t T,
true: True,
so_lambda: 
x y.t[x; y],
sq_stable: SqStable(P),
implies: P 
Q,
all: x:A. B[x],
so_apply: x[s1;s2],
prop: 
,
subtype: S 
T
Lemmas :
sq_stable__iterated_classrel,
squash_wf,
iterated_classrel_wf,
es-E_wf,
event-ordering+_inc,
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{}[v:S].
uiff(\mdownarrow{}v \mmember{} X*(f,init,e);v \mmember{} X*(f,init,e))
Date html generated:
2012_01_23-PM-12_19_31
Last ObjectModification:
2012_01_09-PM-03_21_02
Home
Index