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of real numbers is defined as a if, for all indices , the following inequality holds:

A common "Stefani Problem" involves proving identities of Fibonacci numbers, such as: stefani_problem_stefani_problem

∑i=1k+1fi2=(∑i=1kfi2)+fk+12sum from i equals 1 to k plus 1 of f sub i squared equals open paren sum from i equals 1 to k of f sub i squared close paren plus f sub k plus 1 end-sub squared Substitute the inductive hypothesis: of real numbers is defined as a if,

In the De Stefani curriculum, problems are designed to test five fundamental proof techniques: for all indices

Directly building an example that satisfies the property.