Theorem renemnfd

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

	Ref	Expression
Hypothesis	rexrd.1	$$⊢\phi \to A\in ℝ$$
Assertion	renemnfd	$$⊢\phi \to A\ne \mathrm{-\infty }$$

Proof

Step	Hyp	Ref	Expression
1		rexrd.1	$$⊢\phi \to A\in ℝ$$
2		renemnf	$$⊢A\in ℝ\to A\ne \mathrm{-\infty }$$
3	1 2	syl	$$⊢\phi \to A\ne \mathrm{-\infty }$$