Theorem renemnfd

Description: No real equals minus infinity. (Contributed by Mario Carneiro, 28-May-2016)

	Ref	Expression
Hypothesis	rexrd.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
Assertion	renemnfd	⊢ ( 𝜑 → 𝐴 ≠ -∞ )

Proof

Step	Hyp	Ref	Expression
1		rexrd.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
2		renemnf	⊢ ( 𝐴 ∈ ℝ → 𝐴 ≠ -∞ )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ≠ -∞ )