Nuprl Lemma : es-hist-iseg
∀[Info:Type]
∀es:EO+(Info). ∀e1,e2,e:E. e ≤loc e2 ⇒ es-hist(es;e1;e) ≤ es-hist(es;e1;e2) supposing loc(e2) = loc(e1) ∈ Id
Proof
Definitions occuring in Statement :
es-hist: es-hist(es;e1;e2),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
Id: Id,
iseg: l1 ≤ l2,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
iseg_map,
es-info_wf,
es-interval_wf,
es-le_wf,
event-ordering+_subtype,
equal_wf,
Id_wf,
es-loc_wf,
es-E_wf,
event-ordering+_wf,
decidable__es-le,
es-interval-iseg,
es-le_transitivity,
es-interval-is-nil,
es-le-loc,
decidable__es-locl,
es-le-not-locl,
nil_wf,
iseg_wf,
nil_iseg
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}e1,e2,e:E.
e \mleq{}loc e2 {}\mRightarrow{} es-hist(es;e1;e) \mleq{} es-hist(es;e1;e2) supposing loc(e2) = loc(e1)
Date html generated:
2015_07_17-PM-00_09_55
Last ObjectModification:
2015_01_28-AM-00_08_39
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