ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31028

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 30947	. . 3 class ℋ
2	1, 1	cxp 5686	. 2 class ( ℋ × ℋ)
3		cva 30948	. 2 class +_ℎ
4	2, 1, 3	wf 6558	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31040 hilablo 31188 hilid 31189 hilvc 31190 hhnv 31193 hhba 31195 hhph 31206 issh2 31237 hhssabloi 31290 hhssnv 31292 hhshsslem1 31295 hhsssh 31297 shsss 31341 shsel 31342