ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 27241

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 27160	. . 3 class ℋ
2	1, 1	cxp 5036	. 2 class ( ℋ × ℋ)
3		cva 27161	. 2 class +_ℎ
4	2, 1, 3	wf 5800	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 27253 hilablo 27401 hilid 27402 hilvc 27403 hhnv 27406 hhba 27408 hhph 27419 issh2 27450 hhssabloi 27503 hhssnv 27505 hhshsslem1 27508 hhsssh 27510 shsss 27556 shsel 27557