Theorem 6nprm

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

	Ref	Expression
Assertion	6nprm	$$⊢\neg 6\in \mathbb{P}$$

Proof

Step	Hyp	Ref	Expression
1		3nn	$$⊢3\in \mathbb{N}$$
2		2nn	$$⊢2\in \mathbb{N}$$
3		1lt3	$$⊢1<3$$
4		1lt2	$$⊢1<2$$
5		3t2e6	$$⊢3\cdot 2=6$$
6	1 2 3 4 5	nprmi	$$⊢\neg 6\in \mathbb{P}$$