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 𝐴
1 0 cneg - 𝐴
2 cc0 0
3 cmin
4 2 0 3 co ( 0 − 𝐴 )
5 1 4 wceq - 𝐴 = ( 0 − 𝐴 )