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