Nuprl Lemma : parallel-class-disjoint-classrel
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(A)]. ∀[Z:EClass(B)].
(disjoint-classrel(es;A;X;B;Z) ⇒ disjoint-classrel(es;A;Y;B;Z) ⇒ disjoint-classrel(es;A;X || Y;B;Z))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
universe: Type
Lemmas :
parallel-classrel,
all_wf,
not_wf,
classrel_wf,
parallel-class_wf,
es-E_wf,
event-ordering+_subtype,
disjoint-classrel_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(A)]. \mforall{}[Z:EClass(B)].
(disjoint-classrel(es;A;X;B;Z)
{}\mRightarrow{} disjoint-classrel(es;A;Y;B;Z)
{}\mRightarrow{} disjoint-classrel(es;A;X || Y;B;Z))
Date html generated:
2015_07_22-PM-00_19_14
Last ObjectModification:
2015_01_28-AM-10_43_23
Home
Index