Nuprl Lemma : es-hist-one-one
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e1,e2,e3:E].
(e2 = e3 ∈ E) supposing ((es-hist(es;e1;e2) = es-hist(es;e1;e3) ∈ (Info List)) and e1 ≤loc e3 and e1 ≤loc e2 )
Proof
Definitions occuring in Statement :
es-hist: es-hist(es;e1;e2),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-E: E,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B,
es-hist: es-hist(es;e1;e2),
top: Top
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e1,e2,e3:E].
(e2 = e3) supposing ((es-hist(es;e1;e2) = es-hist(es;e1;e3)) and e1 \mleq{}loc e3 and e1 \mleq{}loc e2 )
Date html generated:
2016_05_16-PM-01_21_22
Last ObjectModification:
2015_12_29-PM-01_59_21
Theory : event-ordering
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