Nuprl Lemma : mem_test_pos_max
es:EO'. e1:E. n:
. (n 
mem_test_Maximum()(e1) 
(0 
n))
Proof not projected
Definitions occuring in Statement :
mem_test_Maximum: mem_test_Maximum(),
Message: Message,
classrel: v X(e),
event-ordering+: EO+(Info),
es-E: E,
le: A B,
all: x:A. B[x],
implies: P Q,
natural_number: $n,
int:
Definitions :
all: x:A. B[x],
implies: P Q,
le: A B,
imax: imax(a;b),
prop: 
,
member: t T,
so_lambda: 
x.t[x],
not: 
A,
false: False,
top: Top,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
mem_test_Maximum: mem_test_Maximum(),
uall: [x:A]. B[x],
so_apply: x[s],
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P 
Q,
bool: 
,
unit: Unit,
guard: {T},
it: 
,
subtype: S 
T
Lemmas :
State-comb-invariant,
Message_wf,
single-bag_wf,
Id_wf,
imax_wf,
mem_test_int'base_wf,
le_wf,
sq_stable_from_decidable,
decidable__le,
bag-member-single,
bag-member_wf,
top_wf,
bool_wf,
uiff_transitivity,
equal_wf,
assert_wf,
eqtt_to_assert,
assert_of_le_int,
lt_int_wf,
less_than_wf,
bnot_wf,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_le_int,
assert_of_lt_int,
classrel_wf,
Memory-class_wf,
es-le_wf,
event-ordering+_inc,
mem_test_Maximum_wf,
es-E_wf,
event-ordering+_wf
\mforall{}es:EO'. \mforall{}e1:E. \mforall{}n:\mBbbZ{}. (n \mmember{} mem\_test\_Maximum()(e1) {}\mRightarrow{} (0 \mleq{} n))
Date html generated:
2012_02_20-PM-05_11_58
Last ObjectModification:
2012_02_17-PM-06_28_42
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