Metamath Proof Explorer


Definition df-neg

Description: Define the negative of a number (unary minus). We use different symbols for unary minus ( -u ) and subtraction ( - ) to prevent syntax ambiguity. See cneg for a discussion of this. (Contributed by NM, 10-Feb-1995)

Ref Expression
Assertion df-neg A = 0 A

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA class A
1 0 cneg class A
2 cc0 class 0
3 cmin class
4 2 0 3 co class 0 A
5 1 4 wceq wff A = 0 A