Nuprl Lemma : not-nullset
∀[p:FinProbSpace]. ¬nullset(p;λs.True) supposing ¬¬Konig(||p||)
Proof
Definitions occuring in Statement :
Konig: Konig(k),
nullset: nullset(p;S),
finite-prob-space: FinProbSpace,
length: ||as||,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
true: True,
lambda: λx.A[x]
Lemmas :
Error :qinv-positive,
Error :qless-int,
qdiv_wf,
Error :int_nzero-rational,
not-equal-2,
decidable__le,
le_wf,
false_wf,
not-le-2,
condition-implies-le,
add-commutes,
add-associates,
minus-add,
zero-add,
add-swap,
or_wf,
nequal_wf,
Error :qless_wf,
all_wf,
p-open-member_wf,
p-measure-le_wf,
nullset_wf,
true_wf,
nat_wf,
p-outcome_wf,
not_wf,
Konig_wf,
length_wf_nat,
rationals_wf,
finite-prob-space_wf,
eq_int_wf,
int_seg_wf,
assert_of_eq_int,
subtype_rel_dep_function,
subtype_rel-int_seg,
subtype_rel_self,
assert_wf,
lt_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_lt_int,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
less_than_wf,
decidable__equal_int,
natural_number_wf_p-outcome,
le_weakening,
int_subtype_base,
lelt_wf,
nequal-le-implies,
exists_wf,
neg_assert_of_eq_int,
int-subtype-rationals,
int-equal-in-rationals,
length_wf,
subtype_rel_set,
expectation-constant,
equal-wf-T-base,
int_seg_subtype-nat
\mforall{}[p:FinProbSpace]. \mneg{}nullset(p;\mlambda{}s.True) supposing \mneg{}\mneg{}Konig(||p||)
Date html generated:
2015_07_17-AM-08_01_01
Last ObjectModification:
2015_07_16-AM-09_52_13
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