Nuprl Lemma : decidable__exists-classrel-between3
∀[Info,T:Type]. ∀X:EClass(T). ∀es:EO+(Info). ∀e1,e2:E. Dec(∃e:E. ((e1 <loc e) ∧ e ≤loc e2 ∧ (↓∃v:T. v ∈ X(e))))
Proof
Definitions occuring in Statement :
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-E: E,
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
squash: ↓T,
and: P ∧ Q,
universe: Type
Lemmas :
decidable__equal_Id,
es-loc_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
equal_wf,
decidable__exists_classrel,
classrel_wf,
exists_wf,
squash_wf,
es-first_wf2,
assert_wf,
not_wf,
Id_wf,
decidable__existse-between3,
es-le_wf,
es-locl_wf,
es-le-loc
\mforall{}[Info,T:Type].
\mforall{}X:EClass(T). \mforall{}es:EO+(Info). \mforall{}e1,e2:E. Dec(\mexists{}e:E. ((e1 <loc e) \mwedge{} e \mleq{}loc e2 \mwedge{} (\mdownarrow{}\mexists{}v:T. v \mmember{} X(e))))
Date html generated:
2015_07_17-PM-00_18_17
Last ObjectModification:
2015_07_16-AM-09_44_16
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