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