{ 
[es:EO]. [e:E]. (first(hd(
loc(e))) ~ tt) }
{ Proof }
Definitions occuring in Statement :
es-le-before: loc(e),
es-first: first(e),
es-E: E,
event_ordering: EO,
hd: hd(l),
btrue: tt,
uall: [x:A]. B[x],
sqequal: s ~ t
Definitions :
es-le: e loc e' ,
es-causle: e c e',
es-locl: (e <loc e'),
record: record(x.T[x]),
tl: tl(l),
bfalse: ff,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
iff: P 
Q,
eq_bool: p =b q,
lt_int: i <z j,
le_int: i z j,
eq_int: (i =
j),
null: null(as),
set_blt: a <
b,
grp_blt: a < b,
dcdr-to-bool: [d],
bl-all: (x
L.P[x])_b,
bl-exists: (
xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
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',
es-bless: e <loc e',
es-ble: e loc e',
bimplies: p q,
band: p 
q,
bor: p 
q,
bnot: 
b,
unit: Unit,
union: left + right,
es-le-before: loc(e),
true: True,
squash: 
T,
es-causl: (e < e'),
apply: f a,
limited-type: LimitedType,
real: 
,
grp_car: |g|,
subtype: S 
T,
minus: -n,
add: n + m,
subtract: n - m,
void: Void,
false: False,
natural_number: $n,
prop: 
,
int: 
,
nat: 
,
exists: x:A. B[x],
strongwellfounded: SWellFounded(R[x; y]),
btrue: tt,
pair: <a, b>,
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
assert: 
b,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record-select: r.x,
infix_ap: x f y,
hd: hd(l),
set: {x:A| B[x]} ,
dep-isect: Error :dep-isect,
record+: record+,
le: A B,
ge: i 
j ,
not: A,
less_than: a < b,
product: x:A 
B[x],
and: P Q,
uiff: uiff(P;Q),
guard: {T},
implies: P Q,
universe: Type,
sqequal: s ~ t,
es-first: first(e),
uall: [x:A]. B[x],
uimplies: b supposing a,
isect: 
x:A. B[x],
sq_type: SQType(T),
all: x:A. B[x],
function: x:A 
B[x],
subtype_rel: A r B,
es-E: E,
event_ordering: EO,
bool: 
,
member: t T,
equal: s = t,
MaAuto: Error :MaAuto,
es-pred: pred(e),
CollapseTHENA: Error :CollapseTHENA,
CollapseTHEN: Error :CollapseTHEN,
Unfold: Error :Unfold,
Auto: Error :Auto,
tactic: Error :tactic,
Id: Id,
append: as @ bs,
cons: [car / cdr],
nil: [],
RepeatFor: Error :RepeatFor,
list: type List,
es-loc: loc(e),
D: Error :D,
top: Top
Lemmas :
es-le-before-not-null,
btrue_neq_bfalse,
null_wf3,
top_wf,
es-loc_wf,
squash_wf,
true_wf,
append_wf,
es-le-before_wf,
Id_wf,
hd_wf,
es-E_wf,
nat_wf,
bool_wf,
ge_wf,
nat_properties,
es-causl-swellfnd,
event_ordering_wf,
btrue_wf,
es-first_wf,
bool_subtype_base,
subtype_base_sq,
le_wf,
member_wf,
es-causl_wf,
assert_wf,
iff_weakening_uiff,
eqtt_to_assert,
not_wf,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
bnot_wf,
assert_elim,
es-pred_wf,
es-pred-causl
\mforall{}[es:EO]. \mforall{}[e:E]. (first(hd(\mleq{}loc(e))) \msim{} tt)
Date html generated:
2011_08_16-AM-10_42_30
Last ObjectModification:
2010_12_10-PM-03_31_56
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