ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31659

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 31578	. . 3 class ℋ
2	1, 1	cxp 5656	. 2 class ( ℋ × ℋ)
3		cva 31579	. 2 class +_ℎ
4	2, 1, 3	wf 6562	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is used by: hvaddcl 31671 hilablo 31819 hilid 31820 hilvc 31821 hhnv 31824 hhba 31826 hhph 31837 issh2 31868 hhssabloi 31921 hhssnv 31923 hhshsslem1 31926 hhsssh 31928 shsss 31972 shsel 31973