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Metamath Proof Explorer

Theorem hvaddcl

Description: Closure of vector addition. (Contributed by NM, 18-Apr-2007) (New usage is discouraged.)

		Ref	Expression
	Assertion	hvaddcl	$⊢ (A \in ℋ \land B \in ℋ) \to A +_{ℎ} B \in ℋ$

Step	Hyp	Ref	Expression
1		ax-hfvadd	$⊢ +_{ℎ} : ℋ \times ℋ ⟶ ℋ$
2	1	fovcl	$⊢ (A \in ℋ \land B \in ℋ) \to A +_{ℎ} B \in ℋ$