ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 31087

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 31006	. . 3 class ℋ
2	1, 1	cxp 5630	. 2 class ( ℋ × ℋ)
3		cva 31007	. 2 class +_ℎ
4	2, 1, 3	wf 6496	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 31099 hilablo 31247 hilid 31248 hilvc 31249 hhnv 31252 hhba 31254 hhph 31265 issh2 31296 hhssabloi 31349 hhssnv 31351 hhshsslem1 31354 hhsssh 31356 shsss 31400 shsel 31401