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