Nuprl Lemma : es-locl-trichotomy
∀the_es:EO. ∀e,e':E. (loc(e) = loc(e') ∈ Id ⇐⇒ (e <loc e') ∨ (e = e' ∈ E) ∨ (e' <loc e))
Proof
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q,
equal: s = t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
and: P ∧ Q,
cand: A c∧ B
Latex:
\mforall{}the$_{es}$:EO. \mforall{}e,e':E. (loc(e) = loc(e') \mLeftarrow{}{}\mRightarrow{} (e <loc e') \mvee{} (e = e') \mvee{} (e' <lo\000Cc e))
Date html generated:
2016_05_16-AM-09_19_25
Last ObjectModification:
2015_12_28-PM-09_55_10
Theory : new!event-ordering
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