Nuprl Lemma : loc-on-path-singleton
∀es:EO. ∀e:E. ∀i:Id. (loc-on-path(es;i;[e]) ⇐⇒ loc(e) = i ∈ Id)
Proof
Definitions occuring in Statement :
loc-on-path: loc-on-path(es;i;L),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
cons: [a / b],
nil: [],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
equal: s = t ∈ T
Lemmas :
or_wf,
equal_wf,
es-loc_wf,
loc-on-path_wf,
nil_wf,
loc-on-path-cons,
cons_wf,
iff_wf,
Id_wf,
es-E_wf,
event_ordering_wf,
loc-on-path-nil
\mforall{}es:EO. \mforall{}e:E. \mforall{}i:Id. (loc-on-path(es;i;[e]) \mLeftarrow{}{}\mRightarrow{} loc(e) = i)
Date html generated:
2015_07_17-AM-08_52_47
Last ObjectModification:
2015_01_27-PM-01_16_35
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