ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 29407

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 29326	. . 3 class ℋ
2	1, 1	cxp 5598	. 2 class ( ℋ × ℋ)
3		cva 29327	. 2 class +_ℎ
4	2, 1, 3	wf 6454	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 29419 hilablo 29567 hilid 29568 hilvc 29569 hhnv 29572 hhba 29574 hhph 29585 issh2 29616 hhssabloi 29669 hhssnv 29671 hhshsslem1 29674 hhsssh 29676 shsss 29720 shsel 29721