Theorem prmgt1

Description: A prime number is an integer greater than 1. (Contributed by Alexander van der Vekens, 17-May-2018)

	Ref	Expression
Assertion	prmgt1	$$⊢P\in \mathbb{P}\to 1<P$$

Proof

Step	Hyp	Ref	Expression
1		prmuz2	$$⊢P\in \mathbb{P}\to P\in {\mathbb{Z}}_{\ge 2}$$
2		eluz2gt1	$$⊢P\in {\mathbb{Z}}_{\ge 2}\to 1<P$$
3	1 2	syl	$$⊢P\in \mathbb{P}\to 1<P$$