Theorem 8nprm

Description: 8 is not a prime number. (Contributed by Mario Carneiro, 18-Feb-2014)

	Ref	Expression
Assertion	8nprm	⊢ ¬ 8 ∈ ℙ

Proof

Step	Hyp	Ref	Expression
1		4nn	⊢ 4 ∈ ℕ
2		2nn	⊢ 2 ∈ ℕ
3		1lt4	⊢ 1 < 4
4		1lt2	⊢ 1 < 2
5		4t2e8	⊢ ( 4 · 2 ) = 8
6	1 2 3 4 5	nprmi	⊢ ¬ 8 ∈ ℙ