ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 30936

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 30855	. . 3 class ℋ
2	1, 1	cxp 5639	. 2 class ( ℋ × ℋ)
3		cva 30856	. 2 class +_ℎ
4	2, 1, 3	wf 6510	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 30948 hilablo 31096 hilid 31097 hilvc 31098 hhnv 31101 hhba 31103 hhph 31114 issh2 31145 hhssabloi 31198 hhssnv 31200 hhshsslem1 31203 hhsssh 31205 shsss 31249 shsel 31250