ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 27985

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		chil 27904	. . 3 class ℋ
2	1, 1	cxp 5141	. 2 class ( ℋ × ℋ)
3		cva 27905	. 2 class +_ℎ
4	2, 1, 3	wf 5922	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 27997 hilablo 28145 hilid 28146 hilvc 28147 hhnv 28150 hhba 28152 hhph 28163 issh2 28194 hhssabloi 28247 hhssnv 28249 hhshsslem1 28252 hhsssh 28254 shsss 28300 shsel 28301