{ 
[s:simple-consensus-state() 
simple-consensus-msg()]
(1 
(snd((nxt_inning() s)))) }
{ Proof }
Definitions occuring in Statement :
nxt_inning: nxt_inning(),
simple-consensus-msg: simple-consensus-msg(),
simple-consensus-state: simple-consensus-state(),
uall: [x:A]. B[x],
pi2: snd(t),
le: A B,
apply: f a,
product: x:A B[x],
natural_number: $n
Definitions :
tactic: Error :tactic,
le: A B,
function: x:A 
B[x],
implies: P 
Q,
not: 
A,
pi2: snd(t),
less_than: a < b,
void: Void,
false: False,
product: x:A B[x],
member: t 
T,
lambda: 
x.A[x],
equal: s = t,
all: x:A. B[x],
simple-consensus-msg: simple-consensus-msg(),
simple-consensus-state: simple-consensus-state(),
uall: [x:A]. B[x],
prop: 
,
isect: 
x:A. B[x],
subtype_rel: A 
r B,
uiff: uiff(P;Q),
and: P 
Q,
uimplies: b supposing a,
ge: i 
j ,
length: ||as||,
list: type List,
nat: 
,
set: {x:A| B[x]} ,
union: left + right,
nxt_inning: nxt_inning(),
strong-subtype: strong-subtype(A;B),
apply: f a,
natural_number: $n,
or: P 
Q,
imax: imax(a;b),
int: 
,
eclass: EClass(A[eo; e]),
subtype: S T,
fpf: a:A fp-> B[a],
intensional-universe: IType,
universe: Type,
pair: <a, b>,
bool: 
,
RepUR: Error :RepUR,
Auto: Error :Auto,
D: Error :D,
CollapseTHEN: Error :CollapseTHEN,
unit: Unit,
bnot: 
b,
assert: 
b,
le_int: i z j,
bor: p q,
band: p q,
bimplies: p q,
es-eq-E: e = e',
eq_lnk: a = b,
eq_id: a = b,
eq_str: Error :eq_str,
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-member: deq-member(eq;x;L),
q_le: q_le(r;s),
q_less: q_less(r;s),
qeq: qeq(r;s),
eq_atom: eq_atom$n(x;y),
eq_type: eq_type(T;T'),
b-exists: (
i<n.P[i])_b,
bl-exists: (xL.P[x])_b,
bl-all: (xL.P[x])_b,
dcdr-to-bool: [d],
infix_ap: x f y,
grp_blt: a < b,
set_blt: a < b,
null: null(as),
eq_atom: x =a y,
eq_int: (i =
j),
iff: P 
Q,
btrue: tt,
limited-type: LimitedType,
grp_car: |g|,
real: 
,
bfalse: ff,
lt_int: i <z j,
add: n + m
Lemmas :
bool_wf,
le_int_wf,
bnot_wf,
assert_wf,
lt_int_wf,
assert_of_lt_int,
bnot_of_le_int,
assert_functionality_wrt_uiff,
eqff_to_assert,
uiff_transitivity,
iff_weakening_uiff,
assert_of_le_int,
eqtt_to_assert,
nat_properties,
simple-consensus-state_wf,
nxt_inning_wf,
member_wf,
subtype_rel_wf,
intensional-universe_wf,
false_wf,
not_wf,
le_wf,
simple-consensus-msg_wf
\mforall{}[s:simple-consensus-state() \mtimes{} simple-consensus-msg()]. (1 \mleq{} (snd((nxt\_inning() s))))
Date html generated:
2011_08_17-PM-06_31_44
Last ObjectModification:
2011_06_18-AM-11_54_28
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