Nuprl Lemma : eo-forward-E
∀[eo:EO]. ∀[e:E]. (E ~ {e@0:es-base-E(eo)| ↑((es-dom(eo) e@0) ∧b (e ≤loc e@0 ∨b(¬bloc(e@0) = loc(e))))} )
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
es-ble: e ≤loc e',
es-loc: loc(e),
es-E: E,
es-dom: es-dom(es),
es-base-E: es-base-E(es),
event_ordering: EO,
eq_id: a = b,
bor: p ∨bq,
band: p ∧b q,
bnot: ¬bb,
assert: ↑b,
uall: ∀[x:A]. B[x],
set: {x:A| B[x]} ,
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eo-forward: eo.e,
es-E: E,
eo-restrict: eo-restrict(eo;P),
all: ∀x:A. B[x],
top: Top,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
bfalse: ff,
btrue: tt,
es-dom: es-dom(es),
es-base-E: es-base-E(es)
Latex:
\mforall{}[eo:EO]. \mforall{}[e:E].
(E \msim{} \{e@0:es-base-E(eo)| \muparrow{}((es-dom(eo) e@0) \mwedge{}\msubb{} (e \mleq{}loc e@0 \mvee{}\msubb{}(\mneg{}\msubb{}loc(e@0) = loc(e))))\} )
Date html generated:
2016_05_16-PM-01_04_03
Last ObjectModification:
2015_12_29-PM-01_46_20
Theory : event-ordering
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