Theorem nnxrd

Description: A natural number is an extended real. (Contributed by Glauco Siliprandi, 11-Dec-2019)

	Ref	Expression
Hypothesis	nnxrd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ )
Assertion	nnxrd	⊢ ( 𝜑 → 𝐴 ∈ ℝ* )

Proof

Step	Hyp	Ref	Expression
1		nnxrd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ )
2	1	nnred	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
3	2	rexrd	⊢ ( 𝜑 → 𝐴 ∈ ℝ* )