{ 
[Info:Type]. [es:EO+(Info)]. [A,T:Type]. [X:EClass(A)]. [base:T].
[f:T 
A T]. [e:E].
(prior-state(f;base;X;e)
= if e 
prior(X) then local-state(f;base;X;prior(X)(e)) else base fi ) }
{ Proof }
Definitions occuring in Statement :
es-interface-local-state: local-state(f;base;X;e),
es-local-prior-state: prior-state(f;base;X;e),
es-prior-interface: prior(X),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
function: x:A B[x],
universe: Type,
equal: s = t
Definitions :
uall: [x:A]. B[x],
member: t T,
so_lambda: 
x y.t[x; y],
es-local-prior-state: prior-state(f;base;X;e),
es-interface-local-state: local-state(f;base;X;e),
ycomb: Y,
top: Top,
es-E-interface: E(X),
all: x:A. B[x],
implies: P 
Q,
prop: 
,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
so_apply: x[s1;s2],
uimplies: b supposing a,
not: 
A,
and: P 
Q,
cand: A c B,
false: False,
bool: 
,
unit: Unit,
iff: P 
Q,
subtype: S 
T,
it: 
,
guard: {T}
Lemmas :
es-E_wf,
event-ordering+_inc,
eclass_wf,
event-ordering+_wf,
in-eclass_wf,
es-prior-interface_wf,
es-interface-top,
es-E-interface_wf,
es-interface-subtype_rel2,
top_wf,
bool_wf,
assert_wf,
eclass-val_wf2,
es-local-prior-state_wf,
es-interface-val_wf2,
not_wf,
bnot_wf,
es-prior-interface-val,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,T:Type]. \mforall{}[X:EClass(A)]. \mforall{}[base:T]. \mforall{}[f:T {}\mrightarrow{} A {}\mrightarrow{} T]. \mforall{}[e:E].
(prior-state(f;base;X;e) = if e \mmember{}\msubb{} prior(X) then local-state(f;base;X;prior(X)(e)) else base fi )
Date html generated:
2011_08_16-PM-05_34_20
Last ObjectModification:
2011_06_20-AM-01_27_12
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