help tics problem, please check your work and ensure answer is right as this is for important assignment. Also please show all work, so it helps me learn. Thank you! Using logical operators and quantifiers, express the following statement in predicate logic where the domain is the set of all animals: "Every cat is well behaved only if every cat and dog gets along." O Bay ((Cat(a) A Dog(x)) → Get Along(x, y)) → Vr(Cat(r) → Behaved(z)) O Va(Cat(x)→ Behaved(r)) → Vavy ((Cat(a) A Dog(y))→ Get Along(x, y)) Ory ((Cat(x) A Dog(x)) → -Get Along(x, y))→Vx(Cat(r) ^ Behaved(x)) OV(Cat(x) A Behaved(a))→ Vavy ((Cat(a) A Dog(y))→ Get Along(x, y))

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