Metamath Proof Explorer


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