Is the empty set a strict order?

Question

I've read that it is a total order, but is it strict on the empty set? I think this may be vacuously true, but I don't know if that is true.

Answer 1

From the comments above.

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Yes, this is vacuously true.

In fact, any claim of the form "Every element of the empty set is [---]" is automatically true, while "some element of the empty set is [---]" is automatically false.