Step
*
2
1
1
1
of Lemma
wilson-theorem
1. n : {i:ℤ| 1 < i}
2. (n - 1)! ≡ (-1) mod n
3. p : ℕ
4. prime(p)
5. (p * p) ≤ n
6. p | n
⊢ 2 ≤ p
BY
{ (D 4 THEN Auto THEN RWO "assoced_nelim" 5 THEN Auto) }
Latex:
Latex:
1. n : \{i:\mBbbZ{}| 1 < i\}
2. (n - 1)! \mequiv{} (-1) mod n
3. p : \mBbbN{}
4. prime(p)
5. (p * p) \mleq{} n
6. p | n
\mvdash{} 2 \mleq{} p
By
Latex:
(D 4 THEN Auto THEN RWO "assoced\_nelim" 5 THEN Auto)
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