Nuprl Lemma : ballot-max_wf
[b1,b2:ballot-id()]. (ballot-max(b1;b2) 
ballot-id())
Proof not projected
Definitions occuring in Statement :
ballot-max: ballot-max(b1;b2),
ballot-id: ballot-id(),
uall: [x:A]. B[x],
member: t T
Definitions :
limited-type: LimitedType,
universe: Type,
prop: 
,
bfalse: ff,
btrue: tt,
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(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,
apply: f a,
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'),
not: 
A,
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,
ballot-less: ballot-less(b1;b2),
assert: 
b,
bnot: b,
int: 
,
unit: Unit,
union: left + right,
implies: P Q,
bool: 
,
function: x:A 
B[x],
ballot-max: ballot-max(b1;b2),
axiom: Ax,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
equal: s = t,
member: t T,
ballot-id: ballot-id(),
all: x:A. B[x]
Lemmas :
ballot-id_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
ballot-less_wf,
bool_wf,
bnot_wf,
not_wf,
assert_wf
\mforall{}[b1,b2:ballot-id()]. (ballot-max(b1;b2) \mmember{} ballot-id())
Date html generated:
2011_10_20-PM-04_16_35
Last ObjectModification:
2011_01_25-AM-00_41_17
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