ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31019

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 30938	. . 3 class ℋ
2	1, 1	cxp 5683	. 2 class ( ℋ × ℋ)
3		cva 30939	. 2 class +_ℎ
4	2, 1, 3	wf 6557	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31031 hilablo 31179 hilid 31180 hilvc 31181 hhnv 31184 hhba 31186 hhph 31197 issh2 31228 hhssabloi 31281 hhssnv 31283 hhshsslem1 31286 hhsssh 31288 shsss 31332 shsel 31333