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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 ∈ a. take an element b ∈ a such that (a, b) ∈ r. because r is symmetric, we also have (b, a) ∈r. now using the transitive property, we can conclude that (a, a) ∈ r because (a, b) ∈ r and (b, a) ∈ 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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