Theorem 0red

Description: The number 0 is real, deduction form. (Contributed by David A. Wheeler, 6-Dec-2018)

	Ref	Expression
Assertion	0red	⊢ ( 𝜑 → 0 ∈ ℝ )

Proof

Step	Hyp	Ref	Expression
1		0re	⊢ 0 ∈ ℝ
2	1	a1i	⊢ ( 𝜑 → 0 ∈ ℝ )