p > 1
by INT_2:def 4;

hence ( INT.Ring p is add-associative & INT.Ring p is right_zeroed & INT.Ring p is right_complementable & INT.Ring p is Abelian & INT.Ring p is commutative & INT.Ring p is associative & INT.Ring p is well-unital & INT.Ring p is distributive & INT.Ring p is almost_left_invertible & not INT.Ring p is degenerated ) by Th12; :: thesis: verum

hence ( INT.Ring p is add-associative & INT.Ring p is right_zeroed & INT.Ring p is right_complementable & INT.Ring p is Abelian & INT.Ring p is commutative & INT.Ring p is associative & INT.Ring p is well-unital & INT.Ring p is distributive & INT.Ring p is almost_left_invertible & not INT.Ring p is degenerated ) by Th12; :: thesis: verum