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 31595

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 31514	. . 3 class ℋ
2	1, 1	cxp 5649	. 2 class ( ℋ × ℋ)
3		cva 31515	. 2 class +_ℎ
4	2, 1, 3	wf 6533	1 wff +_ℎ :( ℋ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is used by: hvaddcl 31607 hilablo 31755 hilid 31756 hilvc 31757 hhnv 31760 hhba 31762 hhph 31773 issh2 31804 hhssabloi 31857 hhssnv 31859 hhshsslem1 31862 hhsssh 31864 shsss 31908 shsel 31909