ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31071

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 30990	. . 3 class ℋ
2	1, 1	cxp 5629	. 2 class ( ℋ × ℋ)
3		cva 30991	. 2 class +_ℎ
4	2, 1, 3	wf 6494	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31083 hilablo 31231 hilid 31232 hilvc 31233 hhnv 31236 hhba 31238 hhph 31249 issh2 31280 hhssabloi 31333 hhssnv 31335 hhshsslem1 31338 hhsssh 31340 shsss 31384 shsel 31385