Metamath Proof Explorer


Theorem addridi

Description: 0 is an additive identity. (Contributed by NM, 23-Nov-1994) (Revised by Scott Fenton, 3-Jan-2013)

Ref Expression
Hypothesis mul.1 ⊢ A ∈ ℂ
Assertion addridi ⊢ A + 0 = A

Proof

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