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