Theorem cj0

Description: The conjugate of zero. (Contributed by NM, 27-Jul-1999)

	Ref	Expression
Assertion	cj0	⊢ ( ∗ ‘ 0 ) = 0

Proof

Step	Hyp	Ref	Expression
1		0re	⊢ 0 ∈ ℝ
2		cjre	⊢ ( 0 ∈ ℝ → ( ∗ ‘ 0 ) = 0 )
3	1 2	ax-mp	⊢ ( ∗ ‘ 0 ) = 0