ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31032

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 30951	. . 3 class ℋ
2	1, 1	cxp 5698	. 2 class ( ℋ × ℋ)
3		cva 30952	. 2 class +_ℎ
4	2, 1, 3	wf 6569	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31044 hilablo 31192 hilid 31193 hilvc 31194 hhnv 31197 hhba 31199 hhph 31210 issh2 31241 hhssabloi 31294 hhssnv 31296 hhshsslem1 31299 hhsssh 31301 shsss 31345 shsel 31346