ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 30929

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 30848	. . 3 class ℋ
2	1, 1	cxp 5636	. 2 class ( ℋ × ℋ)
3		cva 30849	. 2 class +_ℎ
4	2, 1, 3	wf 6507	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 30941 hilablo 31089 hilid 31090 hilvc 31091 hhnv 31094 hhba 31096 hhph 31107 issh2 31138 hhssabloi 31191 hhssnv 31193 hhshsslem1 31196 hhsssh 31198 shsss 31242 shsel 31243