Metamath Proof Explorer


Theorem addlidi

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

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

Proof

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