theorem Th158: :: ZMODUL01:158

for R being non empty right_complementable Abelian add-associative right_zeroed addLoopStr
for a being Element of R
for i, j being Element of INT.Ring st i in NAT & not j in NAT holds
(Int-mult-left R) . ((i + j),a) = ((Int-mult-left R) . (i,a)) + ((Int-mult-left R) . (j,a))