{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [e:E].
Prior(X) es e ~ if 0 <z bag-size(X es pred(e))
then X es pred(e)
else Prior(X) es pred(e)
fi
supposing 
first(e) }
{ Proof }
Definitions occuring in Statement :
primed-class: Prior(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-pred: pred(e),
es-first: first(e),
es-E: E,
lt_int: i <z j,
assert: b,
ifthenelse: if b then t else f fi ,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
not: A,
apply: f a,
natural_number: $n,
universe: Type,
sqequal: s ~ t,
bag-size: bag-size(bs)
Definitions :
limited-type: LimitedType,
false: False,
bfalse: ff,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
eq_bool: p =b q,
le_int: i 
z j,
eq_int: (i =
j),
eq_atom: x =a y,
null: null(as),
set_blt: a <
b,
grp_blt: a < b,
infix_ap: x f y,
dcdr-to-bool: [d],
bl-all: (x
L.P[x])_b,
bl-exists: (
xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
eq_atom: eq_atom$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_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,
guard: {T},
implies: P Q,
btrue: tt,
subtype_rel: A 
r B,
sq_type: SQType(T),
bool: 
,
union: left + right,
or: P Q,
empty-bag: {},
es-pred: pred(e),
bag-size: bag-size(bs),
natural_number: $n,
lt_int: i <z j,
ifthenelse: if b then t else f fi ,
primed-class: Prior(X),
apply: f a,
top: Top,
lambda: 
x.A[x],
subtype: S T,
es-first: first(e),
function: x:A 
B[x],
all: x:A. B[x],
equal: s = t,
prop: 
,
member: t T,
so_lambda: 
x.t[x],
sqequal: s ~ t,
not: A,
assert: b,
es-E: E,
event_ordering: EO,
eclass: EClass(A[eo; e]),
so_lambda: x y.t[x; y],
event-ordering+: EO+(Info),
universe: Type,
uall: [x:A]. B[x],
uimplies: b supposing a,
isect: 
x:A. B[x],
Auto: Error :Auto,
SplitOn: Error :SplitOn,
CollapseTHEN: Error :CollapseTHEN,
D: Error :D,
CollapseTHENA: Error :CollapseTHENA,
RepeatFor: Error :RepeatFor,
tactic: Error :tactic
Lemmas :
assert_wf,
not_wf,
es-E_wf,
eclass_wf,
uall_wf,
event-ordering+_wf,
event-ordering+_inc,
top_wf,
es-first_wf,
primed-class-cases,
bool_cases,
bool_wf,
subtype_base_sq,
bool_subtype_base,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
bnot_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
Prior(X) es e \msim{} if 0 <z bag-size(X es pred(e)) then X es pred(e) else Prior(X) es pred(e) fi
supposing \mneg{}\muparrow{}first(e)
Date html generated:
2011_08_16-PM-05_06_26
Last ObjectModification:
2011_06_20-AM-01_10_39
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