Nuprl Lemma : es-open-interval-closed
∀[es:EO]. ∀[e1,e2:E]. (pred(e1), e2) = [e1;e2) ∈ (E List) supposing ¬↑first(e1)
Proof
Definitions occuring in Statement :
es-closed-open-interval: [e;e'),
es-open-interval: (e, e'),
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
list: T List,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
equal: s = t ∈ T
Lemmas :
filter_wf5,
squash_wf,
true_wf,
set_wf,
l_member_wf,
bool_wf,
list_wf,
es-before_wf,
iff_imp_equal_bool,
es-bless_wf,
es-pred_wf,
es-pred-locl-implies-le,
es-locl_wf,
es-pred-locl,
es-locl_transitivity2,
es-le_wf,
assert-es-bless,
assert-es-ble,
assert_wf,
iff_wf,
not_wf,
es-first_wf2,
es-E_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[e1,e2:E]. (pred(e1), e2) = [e1;e2) supposing \mneg{}\muparrow{}first(e1)
Date html generated:
2015_07_17-AM-08_43_58
Last ObjectModification:
2015_01_27-PM-02_29_19
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