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elloemill
elloemill
28.05.2020 • 
Mathematics

G 2. (15 pt) Let X be a set with an equivalence relation ∼. Recall that, for an element x ∈ X, the equivalence class of x is the set [x] := {y ∈ X | x ∼ y} . a) Write down the precise definition of an equivalence relation. b) Using only this definition and the definition of equivalence class above, prove that for two elements s, t ∈ X, [s] = [t] if and only if s ∼ t.

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