Checking property equivalence in OWL ontology through SWRL or SQWRL

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I have properties P1, P2 and P3. P1 is equivalent to intersection of P2 and P3. How do I write a rule that takes P1 and finds intersection of P2 and P3 as equivalent property.

I know SWRL works only on A-Box Individuals. Any hack here? Or am I missing some alternative ways?

Any help in designing such a rule is highly appreciated. Thanks!

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