Nuprl Lemma : State-class-single-val0
[Info,A,B:Type]. [es:EO+(Info)]. [f:A 
B B]. [X:EClass(A)]. [init:Id bag(B)]. [e:E]. [v1,v2:B].
(v1 = v2) supposing
(v1 
State-class(init;f;X)(e) and
v2 State-class(init;f;X)(e) and
single-valued-bag(init loc(e);B) and
single-valued-classrel(es;X;A))
Proof not projected
Definitions occuring in Statement :
State-class: State-class(init;f;X),
single-valued-classrel: single-valued-classrel(es;X;T),
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uimplies: b supposing a,
uall: [x:A]. B[x],
apply: f a,
function: x:A B[x],
universe: Type,
equal: s = t,
single-valued-bag: single-valued-bag(b;T),
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
member: t T,
so_apply: x[s1;s2],
and: P 
Q,
all: x:A. B[x],
uall: [x:A]. B[x],
iff: P 
Q,
implies: P Q,
subtype: S 
T
Lemmas :
event-ordering+_wf,
eclass_wf,
bag_wf,
Id_wf,
es-E_wf,
single-valued-classrel_wf,
event-ordering+_inc,
es-loc_wf,
single-valued-bag_wf,
State-class_wf,
classrel_wf,
iterated_classrel-single-val,
State-classrel
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[e:E].
\mforall{}[v1,v2:B].
(v1 = v2) supposing
(v1 \mmember{} State-class(init;f;X)(e) and
v2 \mmember{} State-class(init;f;X)(e) and
single-valued-bag(init loc(e);B) and
single-valued-classrel(es;X;A))
Date html generated:
2012_02_20-PM-03_03_51
Last ObjectModification:
2012_02_07-AM-10_30_20
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