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Mathematics, 03.12.2019 04:31 DeathFightervx
Find the error in the "proof" of the following "theorem." "theorem": let r be a relation on a set a that is symmetric and transitive. then r is reflexive. "proof ": let a β a. take an element b β a such that (a, b) β r. because r is symmetric, we also have (b, a) βr. now using the transitive property, we can conclude that (a, a) β r because (a, b) β r and (b, a) β r.
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Find the error in the "proof" of the following "theorem." "theorem": let r be a relation on a set a...
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