Theorem prmz

Description: A prime number is an integer. (Contributed by Paul Chapman, 22-Jun-2011) (Proof shortened by Jonathan Yan, 16-Jul-2017)

	Ref	Expression
Assertion	prmz	$$⊢P\in \mathbb{P}\to P\in \mathbb{Z}$$

Proof

Step	Hyp	Ref	Expression
1		prmnn	$$⊢P\in \mathbb{P}\to P\in \mathbb{N}$$
2	1	nnzd	$$⊢P\in \mathbb{P}\to P\in \mathbb{Z}$$