Metamath Proof Explorer


Definition df-sm

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

Ref Expression
Assertion df-sm ⊢ ⋅ 𝑠OLD = 2 nd ∘ 1 st

Detailed syntax breakdown

Step Hyp Ref Expression
0 cns class ⋅ 𝑠OLD
1 c2nd class 2 nd
2 c1st class 1 st
3 1 2 ccom class 2 nd ∘ 1 st
4 0 3 wceq wff ⋅ 𝑠OLD = 2 nd ∘ 1 st