ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 28556

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 28475	. . 3 class ℋ
2	1, 1	cxp 5405	. 2 class ( ℋ × ℋ)
3		cva 28476	. 2 class +_ℎ
4	2, 1, 3	wf 6184	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 28568 hilablo 28716 hilid 28717 hilvc 28718 hhnv 28721 hhba 28723 hhph 28734 issh2 28765 hhssabloi 28818 hhssnv 28820 hhshsslem1 28823 hhsssh 28825 shsss 28871 shsel 28872