ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 30975

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 30894	. . 3 class ℋ
2	1, 1	cxp 5614	. 2 class ( ℋ × ℋ)
3		cva 30895	. 2 class +_ℎ
4	2, 1, 3	wf 6477	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 30987 hilablo 31135 hilid 31136 hilvc 31137 hhnv 31140 hhba 31142 hhph 31153 issh2 31184 hhssabloi 31237 hhssnv 31239 hhshsslem1 31242 hhsssh 31244 shsss 31288 shsel 31289