Theorem addid1i

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	addid1i	⊢ ( 𝐴 + 0 ) = 𝐴

Proof

Step	Hyp	Ref	Expression
1		mul.1	⊢ 𝐴 ∈ ℂ
2		addid1	⊢ ( 𝐴 ∈ ℂ → ( 𝐴 + 0 ) = 𝐴 )
3	1 2	ax-mp	⊢ ( 𝐴 + 0 ) = 𝐴