Nuprl Lemma : eo-strict-forward-E
∀[Info:Type]. ∀[eo:EO+(Info)]. ∀[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-strict-forward: eo>e,
event-ordering+: EO+(Info),
es-bless: e <loc e',
es-loc: loc(e),
es-E: E,
es-dom: es-dom(es),
es-base-E: es-base-E(es),
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,
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eo-strict-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),
subtype_rel: A ⊆r B
Latex:
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e:E].
(E \msim{} \{e@0:es-base-E(eo)| \muparrow{}((es-dom(eo) e@0) \mwedge{}\msubb{} (e <loc e@0 \mvee{}\msubb{}(\mneg{}\msubb{}loc(e@0) = loc(e))))\} )
Date html generated:
2016_05_16-PM-01_14_18
Last ObjectModification:
2015_12_29-PM-01_54_27
Theory : event-ordering
Home
Index