Metamath Proof Explorer


Theorem addid2i

Description: 0 is a left identity for addition. (Contributed by NM, 3-Jan-2013)

Ref Expression
Hypothesis mul.1 𝐴 ∈ ℂ
Assertion addid2i ( 0 + 𝐴 ) = 𝐴

Proof

Step Hyp Ref Expression
1 mul.1 𝐴 ∈ ℂ
2 addid2 ( 𝐴 ∈ ℂ → ( 0 + 𝐴 ) = 𝐴 )
3 1 2 ax-mp ( 0 + 𝐴 ) = 𝐴