Nuprl Lemma : disjoint-union-comb-es-sv
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
(es-sv-class(es;X (+) Y)) supposing (disjoint-classrel(es;A;X;B;Y) and es-sv-class(es;Y) and es-sv-class(es;X))
Proof
Definitions occuring in Statement :
disjoint-union-comb: 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 :
parallel-class-es-sv,
simple-comb-1_wf,
lifting-1_wf,
simple-comb-1-es-sv,
disjoint-classrel_wf,
es-sv-class_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
disjoint-classrel-symm,
simple-comb-1-disjoint-classrel
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(es-sv-class(es;X (+) Y)) supposing
(disjoint-classrel(es;A;X;B;Y) and
es-sv-class(es;Y) and
es-sv-class(es;X))
Date html generated:
2015_07_22-PM-00_19_42
Last ObjectModification:
2015_01_28-AM-10_42_16
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