Nuprl Lemma : parallel-classrel
∀[T,Info:Type]. ∀[X,Y:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:T]. uiff(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,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
universe: Type
Lemmas :
bag-member-append
\mforall{}[T,Info:Type]. \mforall{}[X,Y:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T].
uiff(v \mmember{} X || Y(e);v \mmember{} X(e) \mdownarrow{}\mvee{} v \mmember{} Y(e))
Date html generated:
2015_07_17-PM-00_46_23
Last ObjectModification:
2015_01_27-PM-11_06_08
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