Nuprl Lemma : Accum-loc-Accum-classrel
[B,A:
']. [f:Id 
A B B]. [init:Id bag(B)]. [X:EClass'(A)]. [es:EO']. [e:E]. [v:B].
uiff(v 
Accum-class(f loc(e);init;X)(e);v Accum-loc-class(f;init;X)(e))
Proof not projected
Definitions occuring in Statement :
Accum-loc-class: Accum-loc-class(f;init;X),
Accum-class: Accum-class(f;init;X),
Message: Message,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
apply: f a,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
eclass: EClass(A[eo; e]),
uiff: uiff(P;Q),
classrel: v X(e),
Accum-class: Accum-class(f;init;X),
Accum-loc-class: Accum-loc-class(f;init;X),
all: x:A. B[x],
member: t T,
exists: 
x:A. B[x],
nat: 
,
implies: P 
Q,
ge: i 
j ,
le: A 
B,
not: 
A,
false: False,
prop: 
,
squash: 
T,
true: True,
and: P 
Q,
uimplies: b supposing a,
top: Top,
bag-member: bag-member(T;x;bs),
or: P 
Q,
es-p-local-pred: es-p-local-pred(es;P),
so_lambda: 
x y.t[x; y],
strongwellfounded: SWellFounded(R[x; y]),
uall: [x:A]. B[x],
rev_uimplies: rev_uimplies(P;Q),
es-locl: (e <loc e'),
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
es-causl-swellfnd,
event-ordering+_inc,
nat_properties,
ge_wf,
nat_wf,
le_wf,
es-causl_wf,
rec-combined-loc-class-opt-1-classrel,
simple-loc-comb-2-classrel,
primed-class-opt_wf,
rec-combined-class-opt-1-classrel,
simple-comb-2-classrel,
primed-class-opt-classrel,
classrel_wf,
rec-combined-class-opt-1_wf,
lifting-2_wf,
es-loc_wf,
rec-combined-loc-class-opt-1_wf,
lifting-loc-2_wf,
es-E_wf,
Message_wf,
Accum-class_wf,
Accum-loc-class_wf,
event-ordering+_wf,
bag_wf,
Id_wf,
squash_wf,
es-locl_wf,
es-p-local-pred_wf,
not_wf,
bag-member_wf,
true_wf,
eclass_wf
\mforall{}[B,A:\mBbbU{}']. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass'(A)]. \mforall{}[es:EO']. \mforall{}[e:E]. \mforall{}[v:B].
uiff(v \mmember{} Accum-class(f loc(e);init;X)(e);v \mmember{} Accum-loc-class(f;init;X)(e))
Date html generated:
2011_10_20-PM-03_46_51
Last ObjectModification:
2011_09_23-PM-08_41_20
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