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 ‾