Monthly Archives: January 2008

Asymmetric → Antisymmetric

¬(∀x∀y (Rxy → ¬Ryx) → ∀x∀y(Rxy ∧ Ryx → x = y)) ∀x∀y(Rxy → ¬Ryx) ∧ ¬∀x∀y(Rxy ∧ Ryx → x = y)) ¬∀x∀y(Rxy ∧ Ryx → x = y)) ∃x¬∀y(Rxy ∧ Ryx → x = y)) ¬∀y(Ray ∧ Rya

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