Nuprl Lemma : parallel-class-single-val
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(A)].
(single-valued-classrel(es;X || Y;A)) supposing
(single-valued-classrel(es;X;A) and
single-valued-classrel(es;Y;A) and
disjoint-classrel(es;A;X;A;Y))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
single-valued-classrel: single-valued-classrel(es;X;T),
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type
Lemmas :
parallel-classrel,
classrel_wf,
parallel-class_wf,
es-E_wf,
event-ordering+_subtype,
single-valued-classrel_wf,
disjoint-classrel_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(A)].
(single-valued-classrel(es;X || Y;A)) supposing
(single-valued-classrel(es;X;A) and
single-valued-classrel(es;Y;A) and
disjoint-classrel(es;A;X;A;Y))
Date html generated:
2015_07_22-PM-00_17_08
Last ObjectModification:
2015_01_28-AM-10_43_43
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