ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31481

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 31400	. . 3 class ℋ
2	1, 1	cxp 5653	. 2 class ( ℋ × ℋ)
3		cva 31401	. 2 class +_ℎ
4	2, 1, 3	wf 6529	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is used by: hvaddcl 31493 hilablo 31641 hilid 31642 hilvc 31643 hhnv 31646 hhba 31648 hhph 31659 issh2 31690 hhssabloi 31743 hhssnv 31745 hhshsslem1 31748 hhsssh 31750 shsss 31794 shsel 31795