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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
Assertion negidi A + A = 0

Proof

Step Hyp Ref Expression
1 negidi.1 A
2 negid A A + A = 0
3 1 2 ax-mp A + A = 0