Nuprl Lemma : decidable__classrel
∀[Info,T:Type]. ((∀x,y:T. Dec(x = y ∈ T)) ⇒ (∀X:EClass(T). ∀es:EO+(Info). ∀e:E. ∀v:T. Dec(v ∈ X(e))))
Proof
Definitions occuring in Statement :
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
decidable__bag-member2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
all_wf,
decidable_wf,
equal_wf
\mforall{}[Info,T:Type].
((\mforall{}x,y:T. Dec(x = y)) {}\mRightarrow{} (\mforall{}X:EClass(T). \mforall{}es:EO+(Info). \mforall{}e:E. \mforall{}v:T. Dec(v \mmember{} X(e))))
Date html generated:
2015_07_17-PM-00_17_49
Last ObjectModification:
2015_01_28-AM-00_04_26
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