Theorem 6nprm

Description: 6 is not a prime number. (Contributed by Mario Carneiro, 18-Feb-2014)

	Ref	Expression
Assertion	6nprm	⊢ ¬ 6 ∈ ℙ

Proof

Step	Hyp	Ref	Expression
1		3nn	⊢ 3 ∈ ℕ
2		2nn	⊢ 2 ∈ ℕ
3		1lt3	⊢ 1 < 3
4		1lt2	⊢ 1 < 2
5		3t2e6	⊢ ( 3 · 2 ) = 6
6	1 2 3 4 5	nprmi	⊢ ¬ 6 ∈ ℙ