{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [f:E(X) 
E(X)].
[a,e:E(X)]. (f**(e) = a) supposing (((f a) = a) and a is f*(e))
supposing x:E(X). f x c
x }
{ Proof }
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-fix: f**(e),
es-causle: e c e',
es-E: 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,
equal: s = t,
fun-connected: y is f*(x)
Definitions :
bool: 
,
pair: <a, b>,
true: True,
fpf: a:A fp-> B[a],
list: type List,
le: A B,
ge: i 
j ,
not: 
A,
less_than: a < b,
strong-subtype: strong-subtype(A;B),
squash: 
T,
implies: P 
Q,
and: P 
Q,
uiff: uiff(P;Q),
axiom: Ax,
es-fix: f**(e),
limited-type: LimitedType,
hd: hd(l),
fun-path: y=f*(x) via L,
product: x:A 
B[x],
exists: 
x:A. B[x],
fun-connected: y is f*(x),
infix_ap: x f y,
es-causl: (e < e'),
or: P 
Q,
set: {x:A| B[x]} ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
assert: 
b,
prop: 
,
es-causle: e c e',
uimplies: b supposing a,
union: left + right,
es-E-interface: E(X),
subtype: S 
T,
subtype_rel: A r B,
atom: Atom,
apply: f a,
token: "$token",
ifthenelse: if b then t else f fi ,
record-select: r.x,
top: Top,
event_ordering: EO,
es-E: E,
lambda: 
x.A[x],
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
all: x:A. B[x],
function: x:A B[x],
isect: 
x:A. B[x],
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
universe: Type,
member: t 
T,
event-ordering+: EO+(Info),
equal: s = t,
tactic: Error :tactic,
sq_stable: SqStable(P),
void: Void,
false: False,
IdLnk: IdLnk,
Id: Id,
so_apply: x[s],
append: as @ bs,
locl: locl(a),
Knd: Knd,
l_member: (x l),
guard: {T},
MaAuto: Error :MaAuto,
SplitOn: Error :SplitOn,
CollapseTHENM: Error :CollapseTHENM,
CollapseTHEN: Error :CollapseTHEN,
D: Error :D,
CollapseTHENA: Error :CollapseTHENA,
RepeatFor: Error :RepeatFor
Lemmas :
fun-connected-induction2,
es-fix_wf2,
uiff_inversion,
not_wf,
es-fix-step,
es-E_wf,
member_wf,
subtype_rel_wf,
es-causle_wf,
strong-subtype_wf,
squash_wf,
es-fix_wf,
event_ordering_wf,
es-E-interface_wf,
es-fix-connected,
es-fix-equal,
es-fix-equal-E-interface,
es-E-interface-subtype_rel,
event-ordering+_inc,
subtype_rel_self,
fun-connected_wf,
event-ordering+_wf,
top_wf,
eclass_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:E(X) {}\mrightarrow{} E(X)].
\mforall{}[a,e:E(X)]. (f**(e) = a) supposing (((f a) = a) and a is f*(e)) supposing \mforall{}x:E(X). f x c\mleq{} x
Date html generated:
2011_08_16-PM-04_05_32
Last ObjectModification:
2011_06_20-AM-00_39_54
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