With first-order logic, we can say what it means for a relation to be reflexive, symmetric, transitive, antisymmetric, and so on: We can then use the notions freely. Notice that Lean will unfold the ...

Department of Computer Engineering and Informatics, University of Patras, Patras, Greece. In this paper, I extend the Banerjee-Pattanaik’s and Suzumura-Xu’s results to arbitrary binary relations whose ...