Nuprl Lemma : disjoint-union-class-single-val
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
(single-valued-classrel(es;X;A) ⇒ single-valued-classrel(es;Y;B) ⇒ single-valued-classrel(es;X + Y;A + B))
Proof
Definitions occuring in Statement :
disjoint-union-class: X + Y,
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
union: left + right,
universe: Type
Lemmas :
disjoint-union-classrel,
classrel_wf,
disjoint-union-class_wf,
es-E_wf,
event-ordering+_subtype,
single-valued-classrel_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(single-valued-classrel(es;X;A)
{}\mRightarrow{} single-valued-classrel(es;Y;B)
{}\mRightarrow{} single-valued-classrel(es;X + Y;A + B))
Date html generated:
2015_07_22-PM-00_15_36
Last ObjectModification:
2015_01_28-AM-10_44_26
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