Theorem cjnegd

Description: Complex conjugate of negative. (Contributed by Mario Carneiro, 29-May-2016)

	Ref	Expression
Hypothesis	recld.1	$$⊢\phi \to A\in ℂ$$
Assertion	cjnegd	$$⊢\phi \to \overline{-A}=-\bar{A}$$

Proof

Step	Hyp	Ref	Expression
1		recld.1	$$⊢\phi \to A\in ℂ$$
2		cjneg	$$⊢A\in ℂ\to \overline{-A}=-\bar{A}$$
3	1 2	syl	$$⊢\phi \to \overline{-A}=-\bar{A}$$