Nuprl Lemma : es-open-interval-ordered

es:EO. ∀e1,e2:E.  l-ordered(E;e1,e2.(e1 <loc e2);(e1, e2))


Proof




Definitions occuring in Statement :  es-open-interval: (e, e') es-locl: (e <loc e') es-E: E event_ordering: EO all: x:A. B[x] l-ordered: l-ordered(T;x,y.R[x; y];L)
Definitions unfolded in proof :  all: x:A. B[x] l-ordered: l-ordered(T;x,y.R[x; y];L) implies:  Q es-open-interval: (e, e') uall: [x:A]. B[x] member: t ∈ T iff: ⇐⇒ Q and: P ∧ Q prop:

Latex:
\mforall{}es:EO.  \mforall{}e1,e2:E.    l-ordered(E;e1,e2.(e1  <loc  e2);(e1,  e2))



Date html generated: 2016_05_16-AM-09_36_11
Last ObjectModification: 2015_12_28-PM-09_44_46

Theory : new!event-ordering


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