ax-hfvmul - Hilbert Space Explorer

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Axiom ax-hfvmul 28434

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 10270	. . 3 class ℂ
2		chba 28348	. . 3 class ℋ
3	1, 2	cxp 5353	. 2 class (ℂ × ℋ)
4		csm 28350	. 2 class ·_ℎ
5	3, 2, 4	wf 6131	1 wff ·_ℎ :(ℂ × ℋ)⟶ ℋ

Colors of variables: wff setvar class

This axiom is referenced by: hvmulex 28440 hvmulcl 28442 hilvc 28591 issh2 28638 hhssabloilem 28690 hhssnv 28693 hhsssh 28698