Theorem zrei

Description: An integer is a real number. (Contributed by NM, 14-Jul-2005)

	Ref	Expression
Hypothesis	zrei.1	⊢ 𝐴 ∈ ℤ
Assertion	zrei	⊢ 𝐴 ∈ ℝ

Proof

Step	Hyp	Ref	Expression
1		zrei.1	⊢ 𝐴 ∈ ℤ
2		zre	⊢ ( 𝐴 ∈ ℤ → 𝐴 ∈ ℝ )
3	1 2	ax-mp	⊢ 𝐴 ∈ ℝ