theorem Th31: :: ENTROPY1:31
for D being non empty set
for M being Matrix of D
for p being FinSequence of D * st len p = len M & p . 1 = M . 1 & ( for k being Nat st k >= 1 & k < len M holds
p . (k + 1) = (p . k) ^ (M . (k + 1)) ) holds
( len (p . 1) = width M & ( for j being Nat st [1,j] in Indices M holds
( j in dom (p . 1) & (p . 1) . j = M * (1,j) ) ) )