Nuprl Lemma : es-interval-nil
∀es:EO. ∀e,e':E. [e, e'] = [] ∈ (E List) ⇐⇒ (e' <loc e) supposing loc(e) = loc(e') ∈ Id
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
nil: [],
list: T List,
uimplies: b supposing a,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
equal: s = t ∈ T
Lemmas :
equal-wf-T-base,
list_wf,
es-E_wf,
es-interval_wf,
es-locl_wf,
equal_wf,
Id_wf,
es-loc_wf,
event_ordering_wf,
decidable__es-locl,
es-le-not-locl,
es-interval-non-zero,
less_than_wf,
length_wf,
length_of_nil_lemma,
length_zero,
decidable__equal_int,
non_neg_length,
length_wf_nat
\mforall{}es:EO. \mforall{}e,e':E. [e, e'] = [] \mLeftarrow{}{}\mRightarrow{} (e' <loc e) supposing loc(e) = loc(e')
Date html generated:
2015_07_17-AM-08_41_55
Last ObjectModification:
2015_01_27-PM-02_39_01
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