Nuprl Lemma : es-before-no_repeats
∀[es:EO]. ∀[e:E]. no_repeats(E;before(e))
Proof
Definitions occuring in Statement :
es-before: before(e),
es-E: E,
event_ordering: EO,
no_repeats: no_repeats(T;l),
uall: ∀[x:A]. B[x]
Lemmas :
es-causl-swellfnd,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
no_repeats_witness,
es-before_wf,
nat_wf,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
decidable__lt,
es-causl_wf,
es-first_wf2,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
eqff_to_assert,
assert_of_bnot,
equal_wf,
select_wf,
sq_stable__le,
not_wf,
length_wf,
zero-le-nat,
le_wf,
add-mul-special,
zero-mul,
es-E_wf,
event_ordering_wf,
iff_imp_equal_bool,
btrue_wf,
assert_wf,
true_wf,
length_of_nil_lemma,
es-pred_wf,
es-pred-locl,
es-causl_weakening,
subtype_rel_list,
top_wf,
cons_wf,
nil_wf,
lt_int_wf,
bnot_wf,
select-append,
assert_of_lt_int,
iff_transitivity,
iff_weakening_uiff,
decidable__equal_nat,
es-before-pred-length,
decidable__equal_int,
not-equal-2,
le_antisymmetry_iff,
le-add-cancel2,
int_subtype_base,
or_wf,
select_member,
lelt_wf,
member-es-before,
es-locl_wf,
es-locl_irreflexivity,
le_weakening
\mforall{}[es:EO]. \mforall{}[e:E]. no\_repeats(E;before(e))
Date html generated:
2015_07_17-AM-08_44_25
Last ObjectModification:
2015_01_27-PM-02_30_27
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