Nuprl Lemma : parallel-class-es-sv
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[X,Y:EClass(A)].
(es-sv-class(es;X || Y)) supposing (es-sv-class(es;X) and es-sv-class(es;Y) and disjoint-classrel(es;A;X;A;Y))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
es-sv-class: es-sv-class(es;X),
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 :
bag-size-append,
bag-size_wf,
nat_wf,
bag-size-one,
single-valued-bag-if-le1,
bag-member-single,
bag-only_wf2,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-commutes,
zero-add,
le-add-cancel,
add-zero,
es-E_wf,
event-ordering+_subtype,
less_than_wf,
parallel-class_wf,
eclass_wf,
event-ordering+_wf,
es-sv-class_wf,
disjoint-classrel_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X,Y:EClass(A)].
(es-sv-class(es;X || Y)) supposing
(es-sv-class(es;X) and
es-sv-class(es;Y) and
disjoint-classrel(es;A;X;A;Y))
Date html generated:
2015_07_22-PM-00_17_11
Last ObjectModification:
2015_01_28-AM-10_43_58
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