2. Let RE be the set of regular expressions over alphabet E = {0, 1}, and for r€ RB, let L(r) be the language denoted by r. Consider the claim: VL E P(E"), Vri,ra € RE,(C(r1) > 1AL\C(r) = C(r1)) L is regular Either prove this, or find L,r and ra that provide a counter-example.

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