Theorem 8nprm

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

	Ref	Expression
Assertion	8nprm	$$⊢\neg 8\in \mathbb{P}$$

Proof

Step	Hyp	Ref	Expression
1		4nn	$$⊢4\in \mathbb{N}$$
2		2nn	$$⊢2\in \mathbb{N}$$
3		1lt4	$$⊢1<4$$
4		1lt2	$$⊢1<2$$
5		4t2e8	$$⊢4\cdot 2=8$$
6	1 2 3 4 5	nprmi	$$⊢\neg 8\in \mathbb{P}$$