Definition of dyed in the wool adjective from the Oxford Advanced American Dictionary

 

dyed in the wool

 adjective
adjective
 
[usually before noun](usually disapproving)
 
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having strong beliefs or opinions that are never going to change dyed-in-the-wool traditionalists From the idea that wool which was dyed in its raw state gave a more even and lasting color.
See the Oxford Advanced Learner's Dictionary entry: dyed in the wool