self Maths Puzzle

prove that if *is an associativebinary composition IN ASET A SUCH THA EVERY ELEMENT OF A IS INVERTIBLE THEN 8 SATISFIES HCANCELLETION LAWS

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self Other Question

addition table for(Z5,+5) PROVE THAT{1,-1,I,-I}IS A GROUP W.R.T MULTIPLICATION AND ALSO FIND THEIR INVERSE