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Hi, 

Is it correct to end a sentence with an auxiliary verb as shown in (1), please? Are all of the following sentence correct and  is there any difference in terms of meaning(s) between them, please? 

(1) I didn't want this to happen, but it did.
(2) I didn't want this to happen, but it did happen
(3) I didn't want this to happen, but it happened

Thank you. 
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LaboriousIs it correct to end a sentence with an auxiliary verb as shown in (1), please?
Yes, at least in that case.
Laborious Are all of the following sentence correct
Yes.
Laborious is there any difference in terms of meaning(s) between them, please?
I don't sense any real difference.
Comments  
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Thank you so much, Mister Micawber, for replying to my questions.

I read somewhere that we can use auxiliary verbs 'do' and 'did' as in my sentence (2) if we wish to emphasize what we are saying. Is this true, Mister Micawber?

Could you also help me with the following if you have time, please?

- Is it possible for other auxiliaries such as 'have' and 'had' as well to take this role of emphasizing a particular situation?

for ex=
A: Do you love her?
B: Yes, I do love her.

A: Have you seen such a thing before?
B: Yes, I do have seen such a thing before.
Or
Yes, I have have seen such a thing before.

("B" wanted to use 'do' and 'have' to give emphasis to what s/he said to "A".)

Thank you once again.
LaboriousI read somewhere that we can use auxiliary verbs 'do' and 'did' as in my sentence (2) if we wish to emphasize what we are saying. Is this true, Mister Micawber?
In your sentences, it is the whole added clause—if anything—that emphasizes. You are perhaps confusing this with the 'emphatic "do"', as in 'I do like your—really!' or your subsequent examples, which are not the same structure.
LaboriousB: Yes, I do have seen such a thing before. Or Yes, I have have seen such a thing before.
Those are not possible.

He runs really hard does mike.

what kind of sentence is it called?

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