ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31084

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 31003	. . 3 class ℋ
2	1, 1	cxp 5620	. 2 class ( ℋ × ℋ)
3		cva 31004	. 2 class +_ℎ
4	2, 1, 3	wf 6486	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31096 hilablo 31244 hilid 31245 hilvc 31246 hhnv 31249 hhba 31251 hhph 31262 issh2 31293 hhssabloi 31346 hhssnv 31348 hhshsslem1 31351 hhsssh 31353 shsss 31397 shsel 31398