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 that
A1: M1 is anti-circular and
A2: M2 is anti-circular ; :: thesis: M1 - M2 is anti-circular
- M2 is anti-circular by A2, Th55;
hence M1 - M2 is anti-circular by A1, Th52; :: thesis: verum