Metamath Proof Explorer


Theorem mulm1i

Description: Product with minus one is negative. (Contributed by NM, 31-Jul-1999)

Ref Expression
Hypothesis mulm1.1 ⊢ A ∈ ℂ
Assertion mulm1i ⊢ -1 ⁢ A = − A

Proof

Step Hyp Ref Expression
1 mulm1.1 ⊢ A ∈ ℂ
2 mulm1 ⊢ A ∈ ℂ → -1 ⁢ A = − A
3 1 2 ax-mp ⊢ -1 ⁢ A = − A