Nuprl Lemma : es-before-split-last

∀[es,e:Top].  (before(e) ~ if first(e) then [] else before(pred(e)) @ [pred(e)] fi )


Proof




Definitions occuring in Statement :  es-before: before(e),  es-first: first(e),  es-pred: pred(e),  append: as @ bs,  cons: [a / b],  nil: [],  ifthenelse: if b then t else f fi ,  uall: ∀[x:A]. B[x],  top: Top,  sqequal: s ~ t
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  es-before: before(e)

Latex:
\mforall{}[es,e:Top].    (before(e)  \msim{}  if  first(e)  then  []  else  before(pred(e))  @  [pred(e)]  fi  )



Date html generated: 2016_05_16-AM-09_37_07
Last ObjectModification: 2015_12_28-PM-09_44_03

Theory : new!event-ordering


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