Nuprl Lemma : monotone-ldag

∀[F:Type ─→ Type]. Monotone(T.LabeledDAG(F[T])) supposing Monotone(T.F[T])


Proof




Definitions occuring in Statement :  ldag: LabeledDAG(T),  type-monotone: Monotone(T.F[T]),  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  so_apply: x[s],  function: x:A ─→ B[x],  universe: Type
Lemmas :  subtype_rel_sets,  labeled-graph_wf,  is-dag_wf,  subtype_rel_set,  subtype_rel-labeled-graph,  subtype_rel_wf,  type-monotone_wf

Latex:
\mforall{}[F:Type  {}\mrightarrow{}  Type].  Monotone(T.LabeledDAG(F[T]))  supposing  Monotone(T.F[T])



Date html generated: 2015_07_22-PM-00_29_55
Last ObjectModification: 2015_01_28-PM-11_33_32

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