ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 30687

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 30606	. . 3 class ℋ
2	1, 1	cxp 5674	. 2 class ( ℋ × ℋ)
3		cva 30607	. 2 class +_ℎ
4	2, 1, 3	wf 6539	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 30699 hilablo 30847 hilid 30848 hilvc 30849 hhnv 30852 hhba 30854 hhph 30865 issh2 30896 hhssabloi 30949 hhssnv 30951 hhshsslem1 30954 hhsssh 30956 shsss 31000 shsel 31001