This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem addlidd

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 addlidd 
|- ( ph -> ( 0 + A ) = A )

Proof

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