Metamath Proof Explorer

Theorem addridd

Description: 0 is an additive identity. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis muld.1 
|- ( ph -> A e. CC )
Assertion addridd 
|- ( ph -> ( A + 0 ) = A )

Proof

Step Hyp Ref Expression
1 muld.1 
 |-  ( ph -> A e. CC )
2 addrid 
 |-  ( A e. CC -> ( A + 0 ) = A )
3 1 2 syl 
 |-  ( ph -> ( A + 0 ) = A )