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				OBR Ambidexterous pitcher
			 
			 
			
		
		
		
			
			I know from the OBR that if an ambidexterous pitcher faces a switch-hitter, the pitcher must declare with which hand he will pitch to that batter.  My question is, can the batter then switch from one side to the other - and back again - during his at bat? 
 
Here's the sitch - R1.  The batter entered the box as a righty, and the pitcher switched the glove so he could throw as a righty.  The umpire had the pitcher declare, and he declared "righty".  The batter then switched to bad left-handed, ultimately to give R1 a better chance to steal with the left-handed batter doing his best to block the view of the catcher.  The runner DID steal, and then the batter wanted to switch back to bat right-handed, which, as it turned out, was his natural side to hit from.   
 
Input? 
 
JJ
		 
		
		
		
		
		
		
		
		
	
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