Step
*
of Lemma
remove_leading_property2
∀[T:Type]. ∀[L:T List]. ∀[P:T ⟶ 𝔹].  ¬↑P[hd(remove_leading(x.P[x];L))] supposing ¬↑null(remove_leading(x.P[x];L))
BY
{ (BasicUniformUnivCD Auto
   THEN Unhide
   THEN MoveToConcl(-1)
   THEN (GenConclTerm ⌜remove_leading(x.P[x];L)⌝⋅ THENA Auto)
   THEN D (-2)
   THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type].  \mforall{}[L:T  List].  \mforall{}[P:T  {}\mrightarrow{}  \mBbbB{}].
    \mneg{}\muparrow{}P[hd(remove\_leading(x.P[x];L))]  supposing  \mneg{}\muparrow{}null(remove\_leading(x.P[x];L))
By
Latex:
(BasicUniformUnivCD  Auto
  THEN  Unhide
  THEN  MoveToConcl(-1)
  THEN  (GenConclTerm  \mkleeneopen{}remove\_leading(x.P[x];L)\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  D  (-2)
  THEN  Auto)
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