ax-hfvadd - Hilbert Space Explorer

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Axiom ax-hfvadd 27857

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		chil 27776	. . 3 class ℋ
2	1, 1	cxp 5112	. 2 class ( ℋ × ℋ)
3		cva 27777	. 2 class +_ℎ
4	2, 1, 3	wf 5884	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 27869 hilablo 28017 hilid 28018 hilvc 28019 hhnv 28022 hhba 28024 hhph 28035 issh2 28066 hhssabloi 28119 hhssnv 28121 hhshsslem1 28124 hhsssh 28126 shsss 28172 shsel 28173