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Step * 3 of Lemma compact-type-compact-type2


1. [T] : Type
2. ∀p:T ⟶ 𝔹. (∃x:{T| ((∃y:T. p y = ff) ⇒ p x = ff)})
⊢ T
BY
{ (With ⌜λx.tt⌝ (D (-1))⋅ THEN ExRepD THEN Auto) }

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Latex:

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Latex:

1.  [T]  :  Type
2.  \mforall{}p:T  {}\mrightarrow{}  \mBbbB{}.  (\mexists{}x:\{T|  ((\mexists{}y:T.  p  y  =  ff)  {}\mRightarrow{}  p  x  =  ff)\})
\mvdash{}  T


By

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Latex:
(With  \mkleeneopen{}\mlambda{}x.tt\mkleeneclose{}  (D  (-1))\mcdot{}  THEN  ExRepD  THEN  Auto)

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