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  ) |