ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31389

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 31308	. . 3 class ℋ
2	1, 1	cxp 5664	. 2 class ( ℋ × ℋ)
3		cva 31309	. 2 class +_ℎ
4	2, 1, 3	wf 6539	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is used by: hvaddcl 31401 hilablo 31549 hilid 31550 hilvc 31551 hhnv 31554 hhba 31556 hhph 31567 issh2 31598 hhssabloi 31651 hhssnv 31653 hhshsslem1 31656 hhsssh 31658 shsss 31702 shsel 31703