ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 30982

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 30901	. . 3 class ℋ
2	1, 1	cxp 5617	. 2 class ( ℋ × ℋ)
3		cva 30902	. 2 class +_ℎ
4	2, 1, 3	wf 6482	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 30994 hilablo 31142 hilid 31143 hilvc 31144 hhnv 31147 hhba 31149 hhph 31160 issh2 31191 hhssabloi 31244 hhssnv 31246 hhshsslem1 31249 hhsssh 31251 shsss 31295 shsel 31296