Theorem absnegi

Description: Absolute value of negative. (Contributed by NM, 2-Aug-1999)

	Ref	Expression
Hypothesis	absvalsqi.1	⊢ 𝐴 ∈ ℂ
Assertion	absnegi	⊢ ( abs ‘ - 𝐴 ) = ( abs ‘ 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		absvalsqi.1	⊢ 𝐴 ∈ ℂ
2		absneg	⊢ ( 𝐴 ∈ ℂ → ( abs ‘ - 𝐴 ) = ( abs ‘ 𝐴 ) )
3	1 2	ax-mp	⊢ ( abs ‘ - 𝐴 ) = ( abs ‘ 𝐴 )