Here is a sentence. I(i) enjoy yourself(i). Can we say "I" and "yourself" are coindexed but not coreferential?

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    There is no difference. Your example sentence is ungrammatical.
    – Greg Lee
    Apr 19 '20 at 9:28

Conventionally, coreferentiality is indicated with coindexing, i.e. coindexing is the notation for the theoretical concept. Since "I" and "yourself" are not corefential, this is an abuse of the notation; but yeah if you are trying to make a point about notation versus substantive facts about sentences, the words are coindexed, but not coreferential.