Use set.issubset:
>>> {'word','word 1','word 2'}.issubset(['desk','chair','lamp'])
False
>>> {'word','word 1','word 2'}.issubset(['cow','word','horse','word 2','word 1'])
True
>>> search_terms = ['word','word 1','word 2']
>>> library = [['desk','chair','lamp'],['cow','word','horse','word 2','word 1']]
>>> terms = set(search_terms)
>>> [x for x in library if terms.issubset(x)]
[['cow', 'word', 'horse', 'word 2', 'word 1']]
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