{ 
[the_es:EO]. [e:E]. (before(e) 
E List) }
{ Proof }
Definitions occuring in Statement :
es-before: before(e),
es-E: E,
event_ordering: EO,
uall: [x:A]. B[x],
member: t T,
list: type List
Definitions :
function: x:A 
B[x],
uall: [x:A]. B[x],
isect: 
x:A. B[x],
list: type List,
es-before: before(e),
es-E: E,
event_ordering: EO,
equal: s = t,
axiom: Ax,
member: t T,
all: x:A. B[x],
Repeat: Error :Repeat,
CollapseTHEN: Error :CollapseTHEN,
tactic: Error :tactic,
true: True,
squash: 
T,
es-locl: (e <loc e'),
apply: f a,
limited-type: LimitedType,
universe: Type,
real: 
,
grp_car: |g|,
subtype: S 
T,
minus: -n,
add: n + m,
subtract: n - m,
void: Void,
false: False,
not: 
A,
natural_number: $n,
prop: 
,
le: A 
B,
ge: i 
j ,
int: 
,
set: {x:A| B[x]} ,
less_than: a < b,
nat: 
,
implies: P 
Q,
strongwellfounded: SWellFounded(R[x; y]),
exists: 
x:A. B[x],
product: x:A 
B[x],
Id: Id,
es-causl: (e < e'),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
record-select: r.x,
dep-isect: Error :dep-isect,
record+: record+,
subtype_rel: A r B,
uimplies: b supposing a,
es-pred: pred(e),
cons: [car / cdr],
append: as @ bs,
nil: [],
bfalse: ff,
btrue: tt,
uiff: uiff(P;Q),
and: P 
Q,
iff: P 
Q,
eq_bool: p =b q,
lt_int: i <z j,
le_int: i z j,
eq_int: (i =
j),
eq_atom: x =a y,
null: null(as),
set_blt: a <
b,
grp_blt: a < b,
infix_ap: x f y,
dcdr-to-bool: [d],
bl-all: (xL.P[x])_b,
bl-exists: (xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
eq_atom: eq_atom$n(x;y),
qeq: qeq(r;s),
q_less: q_less(r;s),
q_le: q_le(r;s),
deq-member: deq-member(eq;x;L),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
eq_str: Error :eq_str,
eq_id: a = b,
eq_lnk: a = b,
es-eq-E: e = e',
bimplies: p q,
band: p q,
bor: p 
q,
es-first: first(e),
assert: 
b,
bnot: b,
bool: 
,
union: left + right,
unit: Unit
Lemmas :
eqtt_to_assert,
iff_weakening_uiff,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
es-first_wf,
bool_wf,
not_wf,
assert_wf,
bnot_wf,
append_wf,
es-pred_wf,
es-causl_wf,
Id_wf,
es-pred-locl,
nat_wf,
member_wf,
ge_wf,
nat_properties,
es-locl-swellfnd,
le_wf,
es-locl_wf,
event_ordering_wf,
es-E_wf
\mforall{}[the$_{es}$:EO]. \mforall{}[e:E]. (before(e) \mmember{} E List)
Date html generated:
2011_08_16-AM-10_37_15
Last ObjectModification:
2011_06_18-AM-09_16_05
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