{ 
[es:EO]. [e,e':E]. [e, e'] ~ [e, pred(e')] @ [e'] supposing (e <loc e') }
{ Proof }
Definitions occuring in Statement :
es-interval: [e, e'],
es-locl: (e <loc e'),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
append: as @ bs,
uimplies: b supposing a,
uall: [x:A]. B[x],
cons: [car / cdr],
nil: [],
sqequal: s ~ t
Definitions :
es-le: e 
loc e' ,
iff: P 
Q,
le: A B,
ge: i 
j ,
less_than: a < b,
limited-type: LimitedType,
btrue: tt,
uiff: uiff(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',
bimplies: p q,
band: p 
q,
bor: p 
q,
bnot: 
b,
int: 
,
unit: Unit,
union: left + right,
guard: {T},
bfalse: ff,
subtype_rel: A 
r B,
sq_type: SQType(T),
bool: 
,
void: Void,
implies: P Q,
false: False,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
es-before: before(e),
list: type List,
es-ble: e loc e',
lambda: 
x.A[x],
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
set: {x:A| B[x]} ,
apply: f a,
record-select: r.x,
infix_ap: x f y,
pair: <a, b>,
universe: Type,
Id: Id,
es-causl: (e < e'),
product: x:A 
B[x],
and: P Q,
es-pred: pred(e),
append: as @ bs,
nil: [],
cons: [car / cdr],
filter: filter(P;l),
es-interval: [e, e'],
function: x:A 
B[x],
all: x:A. B[x],
equal: s = t,
event_ordering: EO,
prop: 
,
es-locl: (e <loc e'),
sqequal: s ~ t,
uall: [x:A]. B[x],
es-E: E,
uimplies: b supposing a,
isect: 
x:A. B[x],
member: t T,
Try: Error :Try,
CollapseTHEN: Error :CollapseTHEN,
THENL_cons: Error :THENL_nil,
THENL_cons: Error :THENL_cons,
es-first: first(e),
assert: 
b,
not: A,
CollapseTHENA: Error :CollapseTHENA,
THENL_v2: Error :THENL,
tactic: Error :tactic,
strong-subtype: strong-subtype(A;B),
or: P Q,
MaAuto: Error :MaAuto
Lemmas :
es-le_weakening,
assert_wf,
false_wf,
not_wf,
bnot_wf,
bool_wf,
es-first_wf,
assert_of_bnot,
eqff_to_assert,
uiff_transitivity,
eqtt_to_assert,
es-E_wf,
es-locl-first,
bool_subtype_base,
subtype_base_sq,
es-pred_wf,
es-before_wf,
es-ble_wf,
filter_append,
event_ordering_wf,
es-locl_wf,
btrue_neq_bfalse,
assert_elim,
es-le_wf,
iff_transitivity,
iff_weakening_uiff,
assert-es-ble,
not_functionality_wrt_iff
\mforall{}[es:EO]. \mforall{}[e,e':E]. [e, e'] \msim{} [e, pred(e')] @ [e'] supposing (e <loc e')
Date html generated:
2011_08_16-AM-10_40_16
Last ObjectModification:
2011_06_18-AM-09_18_40
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