Step * of Lemma not-not-finite-xmiddle

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[T:Type]. (finite(T)  (∀P:T ⟶ ℙ(¬¬(∀i:T. (P[i] ∨ P[i]))))))
BY
(InstLemma `not-not-finite-xmiddle-1` []
   THEN RepeatFor (ParallelLast')
   THEN Auto
   THEN UnfoldTopAb (-1)
   THEN ParallelLast) }

1
1. [T] Type
2. : ℕ
3. ~ ℕn
⊢ ∃f:ℕn ⟶ T. Surj(ℕn;T;f)


Latex:


Latex:
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\mforall{}[T:Type].  (finite(T)  {}\mRightarrow{}  (\mforall{}P:T  {}\mrightarrow{}  \mBbbP{}.  (\mneg{}\mneg{}(\mforall{}i:T.  (P[i]  \mvee{}  (\mneg{}P[i]))))))


By


Latex:
(InstLemma  `not-not-finite-xmiddle-1`  []
  THEN  RepeatFor  2  (ParallelLast')
  THEN  Auto
  THEN  UnfoldTopAb  (-1)
  THEN  ParallelLast)




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