Nuprl Lemma : es-le-before-split-last
∀[es:EO]. ∀[e:E].  ≤loc(e) ~ ≤loc(pred(e)) @ [e] supposing ¬↑first(e)
Proof
Definitions occuring in Statement : 
es-le-before: ≤loc(e)
, 
es-first: first(e)
, 
es-pred: pred(e)
, 
es-E: E
, 
event_ordering: EO
, 
append: as @ bs
, 
cons: [a / b]
, 
nil: []
, 
assert: ↑b
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
not: ¬A
, 
sqequal: s ~ t
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
es-le-before: ≤loc(e)
, 
prop: ℙ
Latex:
\mforall{}[es:EO].  \mforall{}[e:E].    \mleq{}loc(e)  \msim{}  \mleq{}loc(pred(e))  @  [e]  supposing  \mneg{}\muparrow{}first(e)
Date html generated:
2016_05_16-AM-09_34_47
Last ObjectModification:
2015_12_28-PM-09_45_47
Theory : new!event-ordering
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