ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 30927

Description: Vector addition is an operation on ℋ. (Contributed by NM, 16-Aug-1999.) (New usage is discouraged.)

**Assertion**
Ref	Expression
ax-hfvadd	⊢ +_ℎ :( ℋ × ℋ)⟶ ℋ

**Detailed syntax breakdown of Axiom ax-hfvadd**
Step	Hyp	Ref	Expression
1		chba 30846	. . 3 class ℋ
2	1, 1	cxp 5652	. 2 class ( ℋ × ℋ)
3		cva 30847	. 2 class +_ℎ
4	2, 1, 3	wf 6526	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 30939 hilablo 31087 hilid 31088 hilvc 31089 hhnv 31092 hhba 31094 hhph 31105 issh2 31136 hhssabloi 31189 hhssnv 31191 hhshsslem1 31194 hhsssh 31196 shsss 31240 shsel 31241