Nuprl Lemma : eo-forward-no-classrel-in-interval
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[start:E]. ∀[e1:E]. ∀[e:E].
uiff((no X between e1 and e);(no X between e1 and e)) supposing (loc(e) = loc(e1) ∈ Id) ∧ (loc(e1) = loc(start) ∈ Id)
Proof
Definitions occuring in Statement :
no-classrel-in-interval: (no X between start and e),
eclass: EClass(A[eo; e]),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
eo-forward-E-member,
es-le_transitivity,
classrel_wf,
eo-forward_wf,
eo-forward-E-subtype,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
es-le_wf,
es-locl_wf,
no-classrel-in-interval_wf,
event-ordering+_subtype,
es-E_wf,
eo-forward-locl,
eo-forward-le,
eo-forward-le2,
all_wf,
squash_wf,
true_wf,
not_wf,
event-ordering+_wf,
eclass_wf,
eo-forward-forward,
iff_weakening_equal
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[start:E]. \mforall{}[e1:E]. \mforall{}[e:E].
uiff((no X between e1 and e);(no X between e1 and e)) supposing (loc(e) = loc(e1)) \mwedge{} (loc(e1) = lo\000Cc(start))
Date html generated:
2015_07_17-PM-00_30_02
Last ObjectModification:
2015_02_04-PM-05_33_50
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