let n be Element of NAT ; :: thesis: for K being Field
for M1, M2 being Matrix of n,K st M1 is col_circulant & M2 is col_circulant holds
M1 - M2 is col_circulant
let K be Field; :: thesis: for M1, M2 being Matrix of n,K st M1 is col_circulant & M2 is col_circulant holds
M1 - M2 is col_circulant
let M1, M2 be Matrix of n,K; :: thesis: ( M1 is col_circulant & M2 is col_circulant implies M1 - M2 is col_circulant )
assume that
A1: M1 is col_circulant and
A2: M2 is col_circulant ; :: thesis: M1 - M2 is col_circulant
- M2 is col_circulant by A2, Th25;
hence M1 - M2 is col_circulant by A1, Th21; :: thesis: verum