Nuprl Lemma : empty-fset_wf-cut

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)].  ({} ∈ 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),  empty-fset: {},  uall: ∀[x:A]. B[x],  top: Top,  member: t ∈ T,  universe: Type
Definitions unfolded in proof :  so_apply: x[s1;s2],  subtype_rel: A ⊆r B,  so_lambda: λ2x y.t[x; y],  prop: ℙ,  es-cut: Cut(X;f),  sys-antecedent: sys-antecedent(es;Sys),  member: t ∈ T,  uall: ∀[x:A]. B[x]

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(Top)].  \mforall{}[f:sys-antecedent(es;X)].    (\{\}  \mmember{}  Cut(X;f))



Date html generated: 2016_05_17-AM-07_34_32
Last ObjectModification: 2015_12_28-PM-11_41_33

Theory : event-ordering


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