Nuprl Lemma : disjoint-union-comb-single-val
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
(single-valued-classrel(es;X (+) Y;A + B)) supposing
(disjoint-classrel(es;A;X;B;Y) and
single-valued-classrel(es;Y;B) and
single-valued-classrel(es;X;A))
Proof
Definitions occuring in Statement :
disjoint-union-comb: 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],
union: left + right,
universe: Type
Lemmas :
parallel-class-single-val,
simple-comb-1_wf,
lifting-1_wf,
simple-comb-1-single-val,
disjoint-classrel-symm,
simple-comb-1-disjoint-classrel,
classrel_wf,
disjoint-union-comb_wf,
es-E_wf,
event-ordering+_subtype,
disjoint-classrel_wf,
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 (+) Y;A + B)) supposing
(disjoint-classrel(es;A;X;B;Y) and
single-valued-classrel(es;Y;B) and
single-valued-classrel(es;X;A))
Date html generated:
2015_07_22-PM-00_19_21
Last ObjectModification:
2015_01_28-AM-10_42_35
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