Nuprl Lemma : mk_mFOLProofNode_wf

∀[T:Type]. ∀[sr:mFOL-sequent() × mFOLRule()]. ∀[subgoals:T List].  (srsubgoals ∈ mFOL-sequent() × mFOLRule() × (T List))


Proof




Definitions occuring in Statement :  mk_mFOLProofNode: mk_mFOLProofNode,  mFOL-sequent: mFOL-sequent(),  mFOLRule: mFOLRule(),  list: T List,  uall: ∀[x:A]. B[x],  member: t ∈ T,  product: x:A × B[x],  universe: Type
Lemmas :  list_wf,  mFOL-sequent_wf,  mFOLRule_wf
\mforall{}[T:Type].  \mforall{}[sr:mFOL-sequent()  \mtimes{}  mFOLRule()].  \mforall{}[subgoals:T  List].
    (sr
      subgoals  \mmember{}  mFOL-sequent()  \mtimes{}  mFOLRule()  \mtimes{}  (T  List))



Date html generated: 2015_07_17-AM-07_56_51
Last ObjectModification: 2015_01_27-AM-10_05_07

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