{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [f:E(X) 
E(X)].
[e:E(X)]. (prior-f-fixedpoints(e) ~ prior-f-fixedpoints(f**(e)))
supposing x:E(X). f x c
x }
{ Proof }
Definitions occuring in Statement :
es-prior-fixedpoints: prior-f-fixedpoints(e),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-fix: f**(e),
es-causle: e c e',
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
all: x:A. B[x],
apply: f a,
function: x:A B[x],
universe: Type,
sqequal: s ~ t
Definitions :
member: t 
T,
prop: 
,
bfalse: ff,
btrue: tt,
ifthenelse: if b then t else f fi ,
ycomb: Y,
es-prior-fixedpoints: prior-f-fixedpoints(e),
implies: P 
Q,
all: x:A. B[x],
false: False,
and: P 
Q,
iff: P 
Q,
guard: {T},
sq_type: SQType(T),
or: P 
Q,
not: 
A,
es-E-interface: E(X),
subtype: S 
T
Lemmas :
es-fix-sqequal,
not_functionality_wrt_iff,
assert_of_bnot,
es-E_wf,
not_wf,
bnot_wf,
assert_wf,
iff_transitivity,
eqff_to_assert,
assert-es-eq-E-2,
eqtt_to_assert,
bool_sq,
es-E-interface-subtype_rel,
event-ordering+_inc,
es-eq-E_wf,
bool_cases
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:E(X) {}\mrightarrow{} E(X)].
\mforall{}[e:E(X)]. (prior-f-fixedpoints(e) \msim{} prior-f-fixedpoints(f**(e))) supposing \mforall{}x:E(X). f x c\mleq{} x
Date html generated:
2011_08_16-PM-05_43_37
Last ObjectModification:
2011_06_20-AM-01_31_43
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