Take the following as truth: If all this is too complicated to follow, let me  you look up word X and get synonyms A, B, C, D, E, F, and G.  You look up the synonyms for word A, and you get synonyms X, B, C, D, E, F, and G.  Even the definition provided for the sub-listings is identical in wording to that of the word originally sought.
Then the following statement: "You can look up multiple synonyms for a given word, and the sub-listings will be identical to that word." is true, false, or inconclusive?
Answer: False