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 ∈ ℙ → 𝑃 ∈ ℤ )

Proof

Step	Hyp	Ref	Expression
1		prmnn	⊢ ( 𝑃 ∈ ℙ → 𝑃 ∈ ℕ )
2	1	nnzd	⊢ ( 𝑃 ∈ ℙ → 𝑃 ∈ ℤ )