Theorem 10nprm

Description: 10 is not a prime number. (Contributed by Mario Carneiro, 18-Feb-2014) (Revised by AV, 6-Sep-2021)

	Ref	Expression
Assertion	10nprm	$$⊢\neg 10\in \mathbb{P}$$

Proof

Step	Hyp	Ref	Expression
1		5nn	$$⊢5\in \mathbb{N}$$
2		2nn	$$⊢2\in \mathbb{N}$$
3		1lt5	$$⊢1<5$$
4		1lt2	$$⊢1<2$$
5		5t2e10	$$⊢5\cdot 2=10$$
6	1 2 3 4 5	nprmi	$$⊢\neg 10\in \mathbb{P}$$