Metamath Proof Explorer


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 )