Nuprl Lemma : es-closed-open-interval-decomp
∀[es:EO]. ∀[e1,e2:E]. [e1;e2) = [e1 / (e1, e2)] ∈ (E List) supposing (e1 <loc e2)
Proof
Definitions occuring in Statement :
es-closed-open-interval: [e;e'),
es-open-interval: (e, e'),
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
cons: [a / b],
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Lemmas :
null_filter,
es-E_wf,
es-ble_wf,
es-before_wf,
l_all_iff,
l_member_wf,
not_wf,
assert_wf,
member-es-before,
assert-es-ble,
es-le_wf,
es-locl_transitivity2,
es-locl_irreflexivity,
assert_of_null,
filter_wf5,
length_wf_nat,
equal_wf,
nat_wf,
list_ind_nil_lemma,
cons_wf,
squash_wf,
true_wf,
list_wf,
filter_append,
es-bless_wf,
append_wf,
filter_cons_lemma,
filter_nil_lemma,
subtype_base_sq,
bool_wf,
bool_subtype_base,
iff_imp_equal_bool,
bfalse_wf,
es-locl_wf,
false_wf,
assert-es-bless,
iff_wf,
es-le_weakening,
l_member_decomp,
l_before-es-before,
l_before_wf,
iff_weakening_equal,
l_before_append_iff,
cons_member,
member_append,
filter_trivial
\mforall{}[es:EO]. \mforall{}[e1,e2:E]. [e1;e2) = [e1 / (e1, e2)] supposing (e1 <loc e2)
Date html generated:
2015_07_17-AM-08_44_07
Last ObjectModification:
2015_02_04-AM-07_09_09
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