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Step * of Lemma prec_sub+_wf

∀[P:Type]. ∀[a:Atom ⟶ P ⟶ ((P + P + Type) List)].
  (prec_sub+(P;lbl,p.a[lbl;p]) ∈ (i:P × prec(lbl,p.a[lbl;p];i)) ⟶ (i:P × prec(lbl,p.a[lbl;p];i)) ⟶ ℙ)
BY
{ ProveWfLemma }

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Latex:

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Latex:
\mforall{}[P:Type].  \mforall{}[a:Atom  {}\mrightarrow{}  P  {}\mrightarrow{}  ((P  +  P  +  Type)  List)].
    (prec\_sub+(P;lbl,p.a[lbl;p])  \mmember{}  (i:P  \mtimes{}  prec(lbl,p.a[lbl;p];i))
      {}\mrightarrow{}  (i:P  \mtimes{}  prec(lbl,p.a[lbl;p];i))
      {}\mrightarrow{}  \mBbbP{})


By

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Latex:
ProveWfLemma

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