Metamath Proof Explorer


Theorem cjnegi

Description: Complex conjugate of negative. (Contributed by NM, 2-Aug-1999)

Ref Expression
Hypothesis recl.1 𝐴 ∈ ℂ
Assertion cjnegi ( ∗ ‘ - 𝐴 ) = - ( ∗ ‘ 𝐴 )

Proof

Step Hyp Ref Expression
1 recl.1 𝐴 ∈ ℂ
2 cjneg ( 𝐴 ∈ ℂ → ( ∗ ‘ - 𝐴 ) = - ( ∗ ‘ 𝐴 ) )
3 1 2 ax-mp ( ∗ ‘ - 𝐴 ) = - ( ∗ ‘ 𝐴 )