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 ⊢ − A = A

Proof

Step Hyp Ref Expression
1 absvalsqi.1 ⊢ A ∈ ℂ
2 absneg ⊢ A ∈ ℂ → − A = A
3 1 2 ax-mp ⊢ − A = A