let i be Nat; :: thesis: for K being non empty right_complementable Abelian add-associative right_zeroed addLoopStr
for R being Element of i -tuples_on the carrier of K holds R - R = i |-> (0. K)

let K be non empty right_complementable Abelian add-associative right_zeroed addLoopStr ; :: thesis: for R being Element of i -tuples_on the carrier of K holds R - R = i |-> (0. K)
let R be Element of i -tuples_on the carrier of K; :: thesis: R - R = i |-> (0. K)
thus R - R = R + (- R) by FINSEQOP:84
.= i |-> (0. K) by Lm3 ; :: thesis: verum