Theorem cjcld

Description: Closure law for complex conjugate. (Contributed by Mario Carneiro, 29-May-2016)

	Ref	Expression
Hypothesis	recld.1	$$⊢\phi \to A\in ℂ$$
Assertion	cjcld	$$⊢\phi \to \bar{A}\in ℂ$$

Proof

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