Nuprl Lemma : ohc_v2_pos_rounds
es:EO'. e1:E. Cmd:ValueAllType. n,round:
. (round 
ohc_v2_NewRoundsState(Cmd) n(e1) 
(0 
round))
Proof not projected
Definitions occuring in Statement :
ohc_v2_NewRoundsState: ohc_v2_NewRoundsState(Cmd),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-E: E,
le: A B,
all: x:A. B[x],
implies: P Q,
apply: f a,
natural_number: $n,
int: ,
vatype: ValueAllType
Definitions :
all: x:A. B[x],
vatype: ValueAllType,
implies: P Q,
le: A B,
ohc_v2_update_round: ohc_v2_update_round(Cmd),
prop: 
,
member: t T,
so_lambda: 
x.t[x],
squash: 
T,
true: True,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T},
not: 
A,
false: False,
bfalse: ff,
ohc_v2_NewRoundsState: ohc_v2_NewRoundsState(Cmd),
ohc_v2_init: ohc_v2_init(),
uall: [x:A]. B[x],
sq_stable: SqStable(P),
so_apply: x[s],
bool: 
,
unit: Unit,
uimplies: b supposing a,
and: P 
Q,
uiff: uiff(P;Q),
iff: P 
Q,
sq_type: SQType(T),
it: 
,
subtype: S 
T
Lemmas :
Memory-class-invariant,
Message_wf,
le_wf,
ohc_v2_update_round_wf,
ohc_v2_init_wf,
Id_wf,
bag_wf,
ohc_v2_RoundInfo_wf,
sq_stable__valueall-type,
valueall-type_wf,
sq_stable_from_decidable,
decidable__le,
bool_wf,
uiff_transitivity,
equal_wf,
assert_wf,
and_wf,
less_than_wf,
eqtt_to_assert,
assert_of_band,
and_functionality_wrt_uiff,
assert_of_eq_int,
assert_of_lt_int,
iff_transitivity,
bor_wf,
bnot_wf,
le_int_wf,
or_wf,
not_wf,
iff_weakening_uiff,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_thru_band,
squash_wf,
true_wf,
bnot_of_lt_int,
assert_of_bor,
or_functionality_wrt_uiff,
assert_of_bnot,
not_functionality_wrt_uiff,
assert_of_le_int,
es-locl_wf,
event-ordering+_inc,
bag-member-single,
subtype_base_sq,
int_subtype_base,
bag-member_wf,
es-loc_wf,
classrel_wf,
ohc_v2_NewRoundsState_wf,
es-E_wf,
event-ordering+_wf
\mforall{}es:EO'. \mforall{}e1:E. \mforall{}Cmd:ValueAllType. \mforall{}n,round:\mBbbZ{}.
(round \mmember{} ohc\_v2\_NewRoundsState(Cmd) n(e1) {}\mRightarrow{} (0 \mleq{} round))
Date html generated:
2012_02_20-PM-05_50_02
Last ObjectModification:
2012_02_17-PM-10_29_17
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