Metamath Proof Explorer


Theorem subidi

Description: Subtraction of a number from itself. (Contributed by NM, 26-Nov-1994)

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

Proof

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