Nuprl Lemma : eo-strict-forward-before
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e,b:E]. before(e) = (b, e) ∈ (E List) supposing (b <loc e)
Proof
Definitions occuring in Statement :
eo-strict-forward: eo>e,
event-ordering+: EO+(Info),
es-open-interval: (e, e'),
es-before: before(e),
es-locl: (e <loc e'),
es-E: E,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
es-eq_wf,
event-ordering+_subtype,
deq_wf,
es-E_wf,
es-pred_wf,
bool_wf,
eqtt_to_assert,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
es-open-interval-nil,
es-le_weakening_eq,
assert-es-eq-E,
es-first_wf2,
nil_wf,
es-eq-E_wf,
es-pred-locl,
es-causl_weakening,
es-pred_property,
member-eo-strict-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
eo-strict-forward-first,
eo-strict-forward_wf,
eo-strict-forward-E-subtype,
eq_id_wf,
bool_cases,
subtype_base_sq,
bool_subtype_base,
assert-eq-id,
iff_transitivity,
iff_weakening_uiff,
eo-strict-forward-pred,
iff_weakening_equal,
equal-eo-strict-forward-E,
length_wf_nat,
es-before_wf,
nat_wf,
list_wf,
append_wf,
cons_wf,
es-open-interval_wf,
es-before_wf3,
subtype_rel_list,
es-locl_wf,
subtype_rel_transitivity,
es-before-partition,
filter_append_sq,
filter_cons_lemma,
filter_nil_lemma,
es-bless_wf,
assert-es-bless,
bool_cases_sqequal,
assert-bnot,
filter_wf5,
l_member_wf,
assert_of_null,
null_filter,
l_all_iff,
member-es-open-interval,
es-loc-pred,
es-locl_transitivity2,
es-locl_irreflexivity,
es-causl_transitivity2,
es-causle_weakening,
es-causl_irreflexivity,
append_back_nil,
eo-strict-forward-E-member,
es-pred-loc-base
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e,b:E]. before(e) = (b, e) supposing (b <loc e)
Date html generated:
2015_07_17-PM-00_09_28
Last ObjectModification:
2015_02_04-PM-05_39_52
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