Metamath Proof Explorer


Theorem mulm1d

Description: Product with minus one is negative. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis mulm1d.1 φ A
Assertion mulm1d φ -1 A = A

Proof

Step Hyp Ref Expression
1 mulm1d.1 φ A
2 mulm1 A -1 A = A
3 1 2 syl φ -1 A = A