ax-hfvmul - Hilbert Space Explorer

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

Axiom ax-hfvmul 31607

Description: Scalar multiplication is an operation on ℂ and ℋ. (Contributed by NM, 16-Aug-1999.) (New usage is discouraged.)

**Assertion**
Ref	Expression
ax-hfvmul	⊢ ·_ℎ :(ℂ × ℋ)⟶ ℋ

**Detailed syntax breakdown of Axiom ax-hfvmul**
Step	Hyp	Ref	Expression
1		cc 11198	. . 3 class ℂ
2		chba 31521	. . 3 class ℋ
3	1, 2	cxp 5648	. 2 class (ℂ × ℋ)
4		csm 31523	. 2 class ·_ℎ
5	3, 2, 4	wf 6534	1 wff ·_ℎ :(ℂ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is used by: hvmulex 31613 hvmulcl 31615 hilvc 31764 issh2 31811 hhssabloilem 31863 hhssnv 31866 hhsssh 31871