Nuprl Lemma : add-graph-decls_wf

∀[dd:DeclSet]. ∀[G:Graph(|dd|)]. ∀[T:Type]. ∀[a:Id ─→ Id ─→ Id]. ∀[b:Id].  (add-graph-decls(dd;G;T;a;b) ∈ DeclSet)


Proof




Definitions occuring in Statement :  add-graph-decls: add-graph-decls(dd;G;T;a;b),  es-decl-set-domain: |dd|,  es-decl-set: DeclSet,  id-graph: Graph(S),  Id: Id,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ─→ B[x],  universe: Type
Lemmas :  l_member_wf,  Id_wf,  fpf-join_wf,  Knd_wf,  assert_wf,  hasloc_wf,  fpf-const_wf,  graph-rcvs_wf2,  Kind-deq_wf,  subtype_rel-deq,  assert_elim,  subtype_base_sq,  bool_wf,  bool_subtype_base,  equal_wf,  set_wf,  fpf_wf,  id-graph_wf,  es-decl-set-domain_wf,  es-decl-set_wf
\mforall{}[dd:DeclSet].  \mforall{}[G:Graph(|dd|)].  \mforall{}[T:Type].  \mforall{}[a:Id  {}\mrightarrow{}  Id  {}\mrightarrow{}  Id].  \mforall{}[b:Id].
    (add-graph-decls(dd;G;T;a;b)  \mmember{}  DeclSet)



Date html generated: 2015_07_17-PM-00_00_04
Last ObjectModification: 2015_01_28-AM-00_36_02

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