ax-hfvmul - Hilbert Space Explorer

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Axiom ax-hfvmul 31540

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 11169	. . 3 class ℂ
2		chba 31454	. . 3 class ℋ
3	1, 2	cxp 5645	. 2 class (ℂ × ℋ)
4		csm 31456	. 2 class ·_ℎ
5	3, 2, 4	wf 6523	1 wff ·_ℎ :(ℂ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is used by: hvmulex 31546 hvmulcl 31548 hilvc 31697 issh2 31744 hhssabloilem 31796 hhssnv 31799 hhsssh 31804