df-sm - Metamath Proof Explorer

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Definition df-sm 30996

Description: Define scalar multiplication on a normed complex vector space. (Contributed by NM, 24-Apr-2007.) (New usage is discouraged.)

**Assertion**
Ref	Expression
df-sm	⊢ ·_𝑠OLD = (2^nd ∘ 1^st )

**Detailed syntax breakdown of Definition df-sm**
Step	Hyp	Ref	Expression
1		cns 30986	. 2 class ·_𝑠OLD
2		c2nd 7987	. . 3 class 2^nd
3		c1st 7986	. . 3 class 1^st
4	2, 3	ccom 5667	. 2 class (2^nd ∘ 1^st )
5	1, 4	wceq 1570	1 wff ·_𝑠OLD = (2^nd ∘ 1^st )

Colors of variables: wff setvar class

This definition is used by: smfval 31004