Nuprl Lemma : parallel-classrel-weak
∀[T,Info:Type]. ∀[X,Y:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:T]. (v ∈ X || Y(e) ⇐⇒ v ∈ X(e) ↓∨ v ∈ Y(e))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
sq_or: a ↓∨ b,
uall: ∀[x:A]. B[x],
iff: P ⇐⇒ Q,
universe: Type
Lemmas :
parallel-classrel,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
classrel_wf,
parallel-class_wf,
sq_or_wf
\mforall{}[T,Info:Type]. \mforall{}[X,Y:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
(v \mmember{} X || Y(e) \mLeftarrow{}{}\mRightarrow{} v \mmember{} X(e) \mdownarrow{}\mvee{} v \mmember{} Y(e))
Date html generated:
2015_07_17-PM-00_46_31
Last ObjectModification:
2015_01_27-PM-11_05_46
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