Metamath Proof Explorer

Theorem addid1d

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

Ref Expression
Hypothesis muld.1 
|- ( ph -> A e. CC )
Assertion addid1d 
|- ( ph -> ( A + 0 ) = A )

Proof

Step Hyp Ref Expression
1 muld.1 
 |-  ( ph -> A e. CC )
2 addid1 
 |-  ( A e. CC -> ( A + 0 ) = A )
3 1 2 syl 
 |-  ( ph -> ( A + 0 ) = A )