Metamath Proof Explorer


Theorem addid2d

Description: 0 is a left identity for addition. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis muld.1
|- ( ph -> A e. CC )
Assertion addid2d
|- ( ph -> ( 0 + A ) = A )

Proof

Step Hyp Ref Expression
1 muld.1
 |-  ( ph -> A e. CC )
2 addid2
 |-  ( A e. CC -> ( 0 + A ) = A )
3 1 2 syl
 |-  ( ph -> ( 0 + A ) = A )