Nuprl Lemma : es-cut-union
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[c1,c2:Cut(X;f)]. (c1 ∪ c2 ∈ Cut(X;f))
Proof
Definitions occuring in Statement :
es-cut: Cut(X;f),
sys-antecedent: sys-antecedent(es;Sys),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-eq: es-eq(es),
fset-union: x ∪ y,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
universe: Type
Lemmas :
fset-union_wf,
es-E-interface_wf,
es-eq_wf-interface,
fset-union-closed,
cons_wf,
es-interface-pred_wf2,
nil_wf,
fset-closed_wf,
es-cut_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[c1,c2:Cut(X;f)].
(c1 \mcup{} c2 \mmember{} Cut(X;f))
Date html generated:
2015_07_21-PM-03_57_20
Last ObjectModification:
2015_01_27-PM-05_53_43
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