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
Lemmas :
pes-axioms,
event_ordering_wf
\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:
2015_07_17-AM-08_36_58
Last ObjectModification:
2015_01_27-PM-02_57_37
Home
Index