ax-hfvadd - Hilbert Space Explorer

	Hilbert Space Explorer		< Previous Next > Nearby theorems
Mirrors > Home > HSE Home > Th. List > ax-hfvadd		Structured version Visualization version GIF version

Axiom ax-hfvadd 30520

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 30439	. . 3 class ℋ
2	1, 1	cxp 5673	. 2 class ( ℋ × ℋ)
3		cva 30440	. 2 class +_ℎ
4	2, 1, 3	wf 6538	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvaddcl 30532 hilablo 30680 hilid 30681 hilvc 30682 hhnv 30685 hhba 30687 hhph 30698 issh2 30729 hhssabloi 30782 hhssnv 30784 hhshsslem1 30787 hhsssh 30789 shsss 30833 shsel 30834