Nuprl Lemma : State-comb-classrel-mem
[Info,B,A:Type]. [f:A 
B B]. [init:Id bag(B)].
X:EClass(A). es:EO+(Info). e:E.
[v:B]. (v 
Prior(State-comb(init;f;X))?init(e) 
v Memory-class(f;init;X)(e))
Proof not projected
Definitions occuring in Statement :
State-comb: State-comb(init;f;X),
Memory-class: Memory-class(f;init;X),
primed-class-opt: Prior(X)?b,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uall: [x:A]. B[x],
all: x:A. B[x],
iff: P Q,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
all: x:A. B[x],
es-p-local-pred: es-p-local-pred(es;P),
so_lambda: 
x.t[x],
prop: 
,
cand: A c
B,
gt: i > j,
exists: 
x:A. B[x],
uiff: uiff(P;Q),
not: 
A,
or: P 
Q,
guard: {T},
false: False,
squash: 
T,
true: True,
iff: P Q,
and: P Q,
implies: P Q,
rev_implies: P Q,
member: t T,
so_lambda: x y.t[x; y],
rev_uimplies: rev_uimplies(P;Q),
so_apply: x[s],
nat: 
,
es-locl: (e <loc e'),
decidable: Dec(P),
uimplies: b supposing a,
sq_stable: SqStable(P),
uall: [x:A]. B[x],
so_apply: x[s1;s2],
subtype: S 
T
Lemmas :
es-locl_wf,
exists_wf,
es-p-local-pred_wf,
squash_wf,
all_wf,
not_wf,
bag-member-iff-size,
es-pred-locl,
State-comb-exists,
State-comb-exists-iff,
bag-size_wf,
nat_wf,
gt_wf,
es-pred_property,
es-locl_transitivity2,
es-le_weakening_eq,
es-locl_irreflexivity,
es-causl_transitivity2,
es-causl_weakening,
es-causle_weakening,
es-causl_irreflexivity,
State-comb-classrel,
Memory-classrel,
assert_wf,
es-locl-trichotomy,
es-pred_wf,
and_wf,
bag-member_wf,
es-loc_wf,
es-loc-pred,
equal_wf,
iterated_classrel_wf,
btrue_neq_bfalse,
es-locl-first,
assert_elim,
decidable__assert,
es-first_wf,
primed-class-opt-classrel,
sq_stable__classrel,
classrel_wf,
primed-class-opt_wf,
State-comb_wf,
Memory-class_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf
\mforall{}[Info,B,A:Type]. \mforall{}[f:A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[init:Id {}\mrightarrow{} bag(B)].
\mforall{}X:EClass(A). \mforall{}es:EO+(Info). \mforall{}e:E.
\mforall{}[v:B]. (v \mmember{} Prior(State-comb(init;f;X))?init(e) \mLeftarrow{}{}\mRightarrow{} v \mmember{} Memory-class(f;init;X)(e))
Date html generated:
2012_02_20-PM-03_07_51
Last ObjectModification:
2012_02_17-PM-12_38_55
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