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Step * of Lemma tree-secures_wf

∀[T:Type]. ∀[p:wfd-tree(T)]. ∀[A:n:ℕ ⟶ (ℕn ⟶ T) ⟶ ℙ].  (tree-secures(T;A;p) ∈ ℙ)
BY
{ (Auto
   THEN MoveToConcl (-1)
   THEN Unfold `wfd-tree` (-1)
   THEN WElim (-1)
   THEN Auto
   THEN RecUnfold `tree-secures` 0
   THEN RepUR ``Wsup`` 0
   THEN AutoSplit) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[p:wfd-tree(T)].  \mforall{}[A:n:\mBbbN{}  {}\mrightarrow{}  (\mBbbN{}n  {}\mrightarrow{}  T)  {}\mrightarrow{}  \mBbbP{}].    (tree-secures(T;A;p)  \mmember{}  \mBbbP{})


By

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Latex:
(Auto
  THEN  MoveToConcl  (-1)
  THEN  Unfold  `wfd-tree`  (-1)
  THEN  WElim  (-1)
  THEN  Auto
  THEN  RecUnfold  `tree-secures`  0
  THEN  RepUR  ``Wsup``  0
  THEN  AutoSplit)

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