Nuprl Lemma : rsc4_pos_rounds
es:EO'. e1:E. Cmd:ValueAllType. n,round:
. (round 
rsc4_NewRoundsState(Cmd) n(e1) 
(
0 
z round))
Proof
Definitions occuring in Statement :
rsc4_NewRoundsState: rsc4_NewRoundsState(Cmd),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-E: E,
le_int: i z j,
assert: b,
all: x:A. B[x],
implies: P Q,
apply: f a,
natural_number: $n,
int: ,
vatype: ValueAllType
Definitions :
bnot: 
b,
bfalse: ff,
false: False,
not: A,
guard: {T},
btrue: tt,
lt_int: i <z j,
ifthenelse: if b then t else f fi ,
le: A B,
true: True,
squash: 
T,
so_lambda: 
x.t[x],
member: t T,
prop: 
,
rsc4_update_round: rsc4_update_round(Cmd),
le_int: i z j,
assert: b,
implies: P Q,
vatype: ValueAllType,
all: x:A. B[x],
sq_type: SQType(T),
iff: P 
Q,
unit: Unit,
rev_uimplies: rev_uimplies(P;Q),
and: P 
Q,
uiff: uiff(P;Q),
uimplies: b supposing a,
bool: 
,
so_apply: x[s],
sq_stable: SqStable(P),
uall: [x:A]. B[x],
rsc4_init: rsc4_init(),
rsc4_NewRoundsState: rsc4_NewRoundsState(Cmd),
subtype: S 
T,
it: 
Lemmas :
event-ordering+_wf,
es-E_wf,
rsc4_NewRoundsState_wf,
classrel_wf,
es-loc_wf,
bag-member_wf,
int_subtype_base,
subtype_base_sq,
bag-member-single,
event-ordering+_inc,
es-locl_wf,
not_functionality_wrt_uiff,
assert_of_bnot,
or_functionality_wrt_uiff,
assert_of_bor,
bnot_of_lt_int,
true_wf,
squash_wf,
bnot_thru_band,
assert_functionality_wrt_uiff,
eqff_to_assert,
iff_weakening_uiff,
le_wf,
not_wf,
or_wf,
bnot_wf,
bor_wf,
iff_transitivity,
assert_of_lt_int,
assert_of_eq_int,
and_functionality_wrt_uiff,
assert_of_band,
eqtt_to_assert,
less_than_wf,
and_wf,
equal_wf,
uiff_transitivity,
bool_wf,
lt_int_wf,
eq_int_wf,
band_wf,
ifthenelse_wf,
assert_of_le_int,
sq_stable__assert,
valueall-type_wf,
sq_stable__valueall-type,
rsc4_RoundInfo_wf,
bag_wf,
Id_wf,
rsc4_init_wf,
rsc4_update_round_wf,
le_int_wf,
assert_wf,
Message_wf,
Memory-class-invariant
\mforall{}es:EO'. \mforall{}e1:E. \mforall{}Cmd:ValueAllType. \mforall{}n,round:\mBbbZ{}.
(round \mmember{} rsc4\_NewRoundsState(Cmd) n(e1) {}\mRightarrow{} (\muparrow{}0 \mleq{}z round))
Date html generated:
2012_02_20-PM-04_57_43
Last ObjectModification:
2012_02_02-PM-02_16_24
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