ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 29341

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 29260	. . 3 class ℋ
2	1, 1	cxp 5586	. 2 class ( ℋ × ℋ)
3		cva 29261	. 2 class +_ℎ
4	2, 1, 3	wf 6426	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 29353 hilablo 29501 hilid 29502 hilvc 29503 hhnv 29506 hhba 29508 hhph 29519 issh2 29550 hhssabloi 29603 hhssnv 29605 hhshsslem1 29608 hhsssh 29610 shsss 29654 shsel 29655