Proof by deduction implies proving a particular property using a well known theorem or formula. For example: to show that x^2-2*x+1 >= 0 for any real number x, we factorise the LHS of the inequality, get to (x-1)^2 and then we use the theorem which says that the square of any real number is a positive number. This proves the statement.

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Teodora Musatoiu
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