Metamath Proof Explorer


Theorem negidi

Description: Addition of a number and its negative. (Contributed by NM, 26-Nov-1994)

Ref Expression
Hypothesis negidi.1
|- A e. CC
Assertion negidi
|- ( A + -u A ) = 0

Proof

Step Hyp Ref Expression
1 negidi.1
 |-  A e. CC
2 negid
 |-  ( A e. CC -> ( A + -u A ) = 0 )
3 1 2 ax-mp
 |-  ( A + -u A ) = 0