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Step * of Lemma tree-bars_wf

∀[T:Type]. ∀[p:wfd-tree(T)]. ∀[A:n:ℕ ⟶ (ℕn ⟶ T) ⟶ ℙ].  ((p|A) ∈ ℙ)
BY
{ (Intros
   THEN Unhide
   THEN MoveToConcl (-1)
   THEN Unfold `wfd-tree` (-1)
   THEN WElim
   (-1)⋅
   THEN Fold `wfd-tree` (-2)
   THEN RecUnfold `tree-bars` 0
   THEN RepUR ``Wsup`` 0
   THEN Auto) }

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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{}].    ((p|A)  \mmember{}  \mBbbP{})


By

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Latex:
(Intros
  THEN  Unhide
  THEN  MoveToConcl  (-1)
  THEN  Unfold  `wfd-tree`  (-1)
  THEN  WElim
  (-1)\mcdot{}
  THEN  Fold  `wfd-tree`  (-2)
  THEN  RecUnfold  `tree-bars`  0
  THEN  RepUR  ``Wsup``  0
  THEN  Auto)

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