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 = ( 2nd ∘ 1st )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cns ⊢ ·𝑠OLD
1 c2nd ⊢ 2nd
2 c1st ⊢ 1st
3 1 2 ccom ⊢ ( 2nd ∘ 1st )
4 0 3 wceq ⊢ ·𝑠OLD = ( 2nd ∘ 1st )