let n be Element of NAT ; :: thesis: for K being Field
for M1, M2 being Matrix of n,K st M1 is anti-circular & M2 is anti-circular holds
M1 - M2 is anti-circular
let K be Field; :: thesis: for M1, M2 being Matrix of n,K st M1 is anti-circular & M2 is anti-circular holds
M1 - M2 is anti-circular
let M1, M2 be Matrix of n,K; :: thesis: ( M1 is anti-circular & M2 is anti-circular implies M1 - M2 is anti-circular )
assume A1: ( M1 is anti-circular & M2 is anti-circular ) ; :: thesis: M1 - M2 is anti-circular
then - M2 is anti-circular by Th55;
hence M1 - M2 is anti-circular by A1, Th52; :: thesis: verum