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Notes for this derivation:
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Index  Inference Rule  Input latex  Feeds latex  Output latex  step validity  dimension check  unit check  notes 

1  declare initial expr 



no validation is available for declarations 
4938429483:

4938429483:


2  change variable X to Y 



valid 
4938429483:
8332931442: 
4938429483:
8332931442: 

3  simplify 



LHS diff is 0 RHS diff is pdg4621*sin(pdg3141) + cos(pdg3141) + 1 
8332931442:
6885625907: 
8332931442:
6885625907: 

4  simplify 



valid 
6885625907:
3331824625: 
6885625907:
3331824625: 

5  add X to both sides 



valid 
3331824625:
2501591100: error for dim with 2501591100 
3331824625:
2501591100: N/A 

6  declare final expr 



no validation is available for declarations 
2501591100:
error for dim with 2501591100 
2501591100:
N/A 