Metamath Proof Explorer
		
		
		
		Description:  Inference form of Theorem 19.21 of Margaris p. 90.  See 19.21 and
       19.21h .  Instance of sylg .  (Contributed by NM, 9-Jan-1993)
		
			
				
					|  |  | Ref | Expression | 
					
						|  | Hypotheses | alrimih.1 | |- ( ph -> A. x ph ) | 
					
						|  |  | alrimih.2 | |- ( ph -> ps ) | 
				
					|  | Assertion | alrimih | |- ( ph -> A. x ps ) | 
			
		
		
			
				Proof
				
					
						| Step | Hyp | Ref | Expression | 
						
							| 1 |  | alrimih.1 |  |-  ( ph -> A. x ph ) | 
						
							| 2 |  | alrimih.2 |  |-  ( ph -> ps ) | 
						
							| 3 | 1 2 | sylg |  |-  ( ph -> A. x ps ) |