Nuprl Lemma : es-before_wf2
∀[the_es:EO]. ∀[e:E]. (before(e) ∈ {e':E| loc(e') = loc(e) ∈ Id} List)
Proof
Definitions occuring in Statement :
es-before: before(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
equal: s = t ∈ T
Lemmas :
es-locl-swellfnd,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
es-E_wf,
int_seg_wf,
int_seg_subtype-nat,
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__equal_int,
subtype_rel-int_seg,
le_weakening,
int_seg_properties,
le_wf,
nat_wf,
zero-le-nat,
lelt_wf,
es-locl_wf,
equal_wf,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
event_ordering_wf,
es-first_wf2,
bool_wf,
nil_wf,
Id_wf,
es-loc_wf,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
append_wf,
cons_wf,
es-pred-loc-base,
iff_weakening_equal,
es-pred_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
es-pred-locl,
subtype_rel_list_set
\mforall{}[the$_{es}$:EO]. \mforall{}[e:E]. (before(e) \mmember{} \{e':E| loc(e') = loc(e)\} List)
Date html generated:
2015_07_17-AM-08_40_21
Last ObjectModification:
2015_02_04-AM-07_08_02
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