Nuprl Lemma : eo-forward-split-before
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e,x:E]. before(e) = (before(x) @ before(e)) ∈ (E List) supposing x ≤loc e
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-before: before(e),
es-le: e ≤loc e' ,
es-E: E,
append: as @ bs,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
list_wf,
es-before_wf,
append_wf,
squash_wf,
true_wf,
eo-forward-before,
iff_weakening_equal,
es-before-partition,
append_assoc,
list_ind_cons_lemma,
list_ind_nil_lemma,
es-closed-open-interval-decomp,
equal_wf,
es-closed-open-interval_wf,
es-le_wf,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
append-nil,
subtype_rel_list,
top_wf,
es-closed-open-interval-nil
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e,x:E]. before(e) = (before(x) @ before(e)) supposing x \mleq{}loc e
Date html generated:
2015_07_17-PM-00_05_37
Last ObjectModification:
2015_02_04-PM-05_40_09
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