Nuprl Lemma : loc-on-path-append
∀es:EO. ∀L1,L2:E List. ∀i:Id. (loc-on-path(es;i;L1 @ L2) ⇐⇒ loc-on-path(es;i;L1) ∨ loc-on-path(es;i;L2))
Proof
Definitions occuring in Statement :
loc-on-path: loc-on-path(es;i;L),
es-E: E,
event_ordering: EO,
Id: Id,
append: as @ bs,
list: T List,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q
Lemmas :
map_append_sq,
or_wf,
loc-on-path_wf,
member_append,
map_wf,
es-loc_wf,
l_member_wf,
append_wf,
iff_wf,
Id_wf,
list_wf,
es-E_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}L1,L2:E List. \mforall{}i:Id.
(loc-on-path(es;i;L1 @ L2) \mLeftarrow{}{}\mRightarrow{} loc-on-path(es;i;L1) \mvee{} loc-on-path(es;i;L2))
Date html generated:
2015_07_17-AM-08_52_37
Last ObjectModification:
2015_01_27-PM-01_16_44
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