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Step * of Lemma W-rel_wf

∀[A:Type]. ∀[B:A ⟶ Type]. ∀[w:W(A;a.B[a])].
  (W-rel(A;a.B[a];w) ∈ n:ℕ ⟶ (ℕn ⟶ cw-step(A;a.B[a])) ⟶ cw-step(A;a.B[a]) ⟶ ℙ)
BY
{ (Auto THEN Unfold `W-rel` 0 THEN DoSubsume THEN Auto) }

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Latex:

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Latex:
\mforall{}[A:Type].  \mforall{}[B:A  {}\mrightarrow{}  Type].  \mforall{}[w:W(A;a.B[a])].
    (W-rel(A;a.B[a];w)  \mmember{}  n:\mBbbN{}  {}\mrightarrow{}  (\mBbbN{}n  {}\mrightarrow{}  cw-step(A;a.B[a]))  {}\mrightarrow{}  cw-step(A;a.B[a])  {}\mrightarrow{}  \mBbbP{})


By

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Latex:
(Auto  THEN  Unfold  `W-rel`  0  THEN  DoSubsume  THEN  Auto)

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