{ 
es:EO. x,y,z:E. ((x < y) 
(y < z) (x < z)) }
{ Proof }
Definitions occuring in Statement :
es-causl: (e < e'),
es-E: E,
event_ordering: EO,
all: x:A. B[x],
implies: P Q
Definitions :
assert: 
b,
set: {x:A| B[x]} ,
real: 
,
grp_car: |g|,
subtype: S 
T,
int: 
,
limited-type: LimitedType,
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
and: P 
Q,
uiff: uiff(P;Q),
intensional-universe: IType,
fpf: a:A fp-> B[a],
subtype_rel: A r B,
uall: [x:A]. B[x],
eq_atom: eq_atom$n(x;y),
bool: 
,
prop: 
,
less_than: a < b,
nat: 
,
not: 
A,
l_member: (x 
l),
list: type List,
product: x:A 
B[x],
exists: 
x:A. B[x],
infix_ap: x f y,
union: left + right,
or: P 
Q,
Id: Id,
isect: 
x:A. B[x],
uimplies: b supposing a,
atom: Atom,
apply: f a,
top: Top,
universe: Type,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
record: record(x.T[x]),
dep-isect: Error :dep-isect,
record+: record+,
es-E: E,
function: x:A 
B[x],
equal: s = t,
member: t T,
event_ordering: EO,
ParallelOp: Error :ParallelOp,
RepeatFor: Error :RepeatFor,
CollapseTHEN: Error :CollapseTHEN,
token: "$token",
record-select: r.x,
es-causl: (e < e'),
implies: P Q,
all: x:A. B[x],
AssertBY: Error :AssertBY,
MaAuto: Error :MaAuto,
CollapseTHENA: Error :CollapseTHENA,
Auto: Error :Auto,
D: Error :D,
tactic: Error :tactic
Lemmas :
es-causl_wf,
assert_wf,
Id_wf,
l_member_wf,
not_wf,
nat_wf,
subtype_rel_wf,
member_wf,
intensional-universe_wf,
bool_wf,
subtype_rel_self,
event_ordering_wf,
es-E_wf
\mforall{}es:EO. \mforall{}x,y,z:E. ((x < y) {}\mRightarrow{} (y < z) {}\mRightarrow{} (x < z))
Date html generated:
2011_08_16-AM-10_23_24
Last ObjectModification:
2010_11_22-PM-05_19_39
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