ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31159

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 31078	. . 3 class ℋ
2	1, 1	cxp 5641	. 2 class ( ℋ × ℋ)
3		cva 31079	. 2 class +_ℎ
4	2, 1, 3	wf 6511	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31171 hilablo 31319 hilid 31320 hilvc 31321 hhnv 31324 hhba 31326 hhph 31337 issh2 31368 hhssabloi 31421 hhssnv 31423 hhshsslem1 31426 hhsssh 31428 shsss 31472 shsel 31473