i) Someone plays football and rugby.
ii) No-one plays rugby and cricket.
iii) If someone plays cricket, then that person also plays either football or rugby.
iv) Everyone either plays cricket and football, or they play no sport at all.
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Let P stand for the set of people and let p ∈ P. C(p) is a propositional function that is true when person p plays cricket; R(p) is a propositional function that is true when p plays rugby; and F(p) is true when p plays football. Formalise the following s
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