Metamath Proof Explorer


Theorem mulm1i

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

Ref Expression
Hypothesis mulm1.1 A
Assertion mulm1i -1A=A

Proof

Step Hyp Ref Expression
1 mulm1.1 A
2 mulm1 A-1A=A
3 1 2 ax-mp -1A=A