this is my homework from Number Theory class. Can you please help me to prove this statements. Thank you :) Prove the statements below. 1) V+EZ, a=b (modm) = ta=tb(modm) 2) Let de 2 and dlm. Then asblmodm) = a=b(mod 3) Let k= lcm (mim?, ---, mr) and i = 1,2,---, r. a=bl mod mi) a=b(mod k)

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this is my homework from Number Theory class. Can you please help me to prove this statements. Thank you :)  Prove the statements below. 1) V+EZ, a=b (modm) => ta=tb(modm) 2) Let de 2 and dlm. Then asblmodm) => a=b(mod 3) Let k= lcm (mim?, ---, mr) and i = 1,2,---, r. a=bl mod mi)  a=b(mod k)

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