ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31075

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 30994	. . 3 class ℋ
2	1, 1	cxp 5622	. 2 class ( ℋ × ℋ)
3		cva 30995	. 2 class +_ℎ
4	2, 1, 3	wf 6488	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31087 hilablo 31235 hilid 31236 hilvc 31237 hhnv 31240 hhba 31242 hhph 31253 issh2 31284 hhssabloi 31337 hhssnv 31339 hhshsslem1 31342 hhsssh 31344 shsss 31388 shsel 31389