Nuprl Lemma : es-le-before-if-first
∀[es:EO]. ∀[e:E].  ≤loc(e) ~ [e] supposing ↑first(e)
Proof
Definitions occuring in Statement : 
es-le-before: ≤loc(e), 
es-first: first(e), 
es-E: E, 
event_ordering: EO, 
cons: [a / b], 
nil: [], 
assert: ↑b, 
uimplies: b supposing a, 
uall: ∀[x:A]. B[x], 
sqequal: s ~ t
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x], 
member: t ∈ T, 
uimplies: b supposing a, 
es-le-before: ≤loc(e), 
top: Top, 
prop: ℙ
Latex:
\mforall{}[es:EO].  \mforall{}[e:E].    \mleq{}loc(e)  \msim{}  [e]  supposing  \muparrow{}first(e)
Date html generated:
2016_05_16-AM-09_38_13
Last ObjectModification:
2015_12_28-PM-09_43_36
Theory : new!event-ordering
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