Theorem zxrd

Description: An integer is an extended real number. (Contributed by Glauco Siliprandi, 2-Jan-2022)

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

Proof

Step	Hyp	Ref	Expression
1		zxrd.1	⊢ ( 𝜑 → 𝐴 ∈ ℤ )
2	1	zred	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
3	2	rexrd	⊢ ( 𝜑 → 𝐴 ∈ ℝ* )