Metamath Proof Explorer


Theorem negcli

Description: Closure law for negative. (Contributed by NM, 26-Nov-1994)

Ref Expression
Hypothesis negidi.1 ⊢ A ∈ ℂ
Assertion negcli ⊢ − A ∈ ℂ

Proof

Step Hyp Ref Expression
1 negidi.1 ⊢ A ∈ ℂ
2 negcl ⊢ A ∈ ℂ → − A ∈ ℂ
3 1 2 ax-mp ⊢ − A ∈ ℂ