Since any element of the form squared is , and , any element of in the form must be paired with its inverse. Specifically, the remaining 5 elements of must come from distinct pairs of elements in that are not in . This is impossible since pairs of elements must be even and cannot total up to 5 elements. Thus, the assumptions that is wrong, so .
sIncE ANy elEmenT oF ThE fOrm squAred is , and , any eleMeNt of in THe fOrM Must bE pairED witH iTS InVerse. speCIFIcaLLy, thE rEmaining 5 ElemeNTs Of MUst come fROM DIsTincT pAIRs of ElEmEntS iN that aRe not in . thIs is impOssiblE sincE PAiRS oF eleMentS MuSt be evEn and canNot TOtal uP to 5 elemenTs. ThuS, tHe assumptions THat Is wroNg, so .