Nuprl Lemma : disjoint-union-comb-disjoint-classrel
∀[Info,A,B,C:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(C)].
(disjoint-classrel(es;B;Y;C;Z) ⇒ disjoint-classrel(es;A;X;C;Z) ⇒ disjoint-classrel(es;A + B;X (+) Y;C;Z))
Proof
Definitions occuring in Statement :
disjoint-union-comb: 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,
union: left + right,
universe: Type
Lemmas :
disjoint-union-comb-classrel,
classrel_wf,
disjoint-union-comb_wf,
all_wf,
not_wf,
es-E_wf,
event-ordering+_subtype,
disjoint-classrel_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B,C:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(C)].
(disjoint-classrel(es;B;Y;C;Z)
{}\mRightarrow{} disjoint-classrel(es;A;X;C;Z)
{}\mRightarrow{} disjoint-classrel(es;A + B;X (+) Y;C;Z))
Date html generated:
2015_07_22-PM-00_19_44
Last ObjectModification:
2015_01_28-AM-10_43_55
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