60548
These two versions of the theorem are true in this context , because the proofs ( except for the first existence proof ) , are based on Euclid 's lemma and Bézout 's identity , which are true over every principal domain .
 person: Euclid; person: Bézout
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Euclid, Bézout 
Answer:
 person: Euclid; person: Bézout