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Step * of Lemma prime-isOdd

∀p:ℕ. (prime(p) ⇒ (¬(p = 2 ∈ ℤ)) ⇒ (↑isOdd(p)))
BY
{ (Auto
   THEN (BLemma `odd-iff-not-even` THEN Auto)
   THEN (D 0 THENA Auto)
   THEN (FLemma `even-implies-two-times` [-1] THENA Auto)
   THEN ExRepD) }

1
1. p : ℕ
2. prime(p)
3. ¬(p = 2 ∈ ℤ)
4. ↑isEven(p)
5. k : ℕ
6. p = (2 * k) ∈ ℤ
⊢ False

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Latex:

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Latex:
\mforall{}p:\mBbbN{}.  (prime(p)  {}\mRightarrow{}  (\mneg{}(p  =  2))  {}\mRightarrow{}  (\muparrow{}isOdd(p)))


By

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Latex:
(Auto
  THEN  (BLemma  `odd-iff-not-even`  THEN  Auto)
  THEN  (D  0  THENA  Auto)
  THEN  (FLemma  `even-implies-two-times`  [-1]  THENA  Auto)
  THEN  ExRepD)

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