Theorem zred

Description: An integer is a real number. (Contributed by Mario Carneiro, 28-May-2016)

	Ref	Expression
Hypothesis	zred.1	⊢ ( 𝜑 → 𝐴 ∈ ℤ )
Assertion	zred	⊢ ( 𝜑 → 𝐴 ∈ ℝ )

Proof

Step	Hyp	Ref	Expression
1		zred.1	⊢ ( 𝜑 → 𝐴 ∈ ℤ )
2		zssre	⊢ ℤ ⊆ ℝ
3	2 1	sseldi	⊢ ( 𝜑 → 𝐴 ∈ ℝ )