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
Home
Index