ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31608

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 31527	. . 3 class ℋ
2	1, 1	cxp 5648	. 2 class ( ℋ × ℋ)
3		cva 31528	. 2 class +_ℎ
4	2, 1, 3	wf 6535	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is used by: hvaddcl 31620 hilablo 31768 hilid 31769 hilvc 31770 hhnv 31773 hhba 31775 hhph 31786 issh2 31817 hhssabloi 31870 hhssnv 31872 hhshsslem1 31875 hhsssh 31877 shsss 31921 shsel 31922