Proving a base case and showing the property holds for if it holds for

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

You can find similar problems archived on CliffsNotes under Lorenzo De Stefani’s course materials.

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

A[i,j]+A[k,l]≤A[i,l]+A[k,j]cap A open bracket i comma j close bracket plus cap A open bracket k comma l close bracket is less than or equal to cap A open bracket i comma l close bracket plus cap A open bracket k comma j close bracket