ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31333

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 31252	. . 3 class ℋ
2	1, 1	cxp 5661	. 2 class ( ℋ × ℋ)
3		cva 31253	. 2 class +_ℎ
4	2, 1, 3	wf 6534	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31345 hilablo 31493 hilid 31494 hilvc 31495 hhnv 31498 hhba 31500 hhph 31511 issh2 31542 hhssabloi 31595 hhssnv 31597 hhshsslem1 31600 hhsssh 31602 shsss 31646 shsel 31647