Theorem hvaddlidi

Description: Addition with the zero vector. (Contributed by NM, 18-Aug-1999) (New usage is discouraged.)

	Ref	Expression
Hypothesis	hvaddlid.1	⊢ 𝐴 ∈ ℋ
Assertion	hvaddlidi	⊢ ( 0ℎ +ℎ 𝐴 ) = 𝐴

Proof

Step	Hyp	Ref	Expression
1		hvaddlid.1	⊢ 𝐴 ∈ ℋ
2		hvaddlid	⊢ ( 𝐴 ∈ ℋ → ( 0ℎ +ℎ 𝐴 ) = 𝐴 )
3	1 2	ax-mp	⊢ ( 0ℎ +ℎ 𝐴 ) = 𝐴