theorem Th6: :: PDIFF_8:6

for m, n being non zero Element of NAT
for s being Point of (R_NormSpace_of_BoundedLinearOperators ((REAL-NS m),(REAL-NS n)))
for i being Nat st 1 <= i & i <= n holds
( Proj (i,n) is Lipschitzian LinearOperator of (REAL-NS n),(REAL-NS 1) & (BoundedLinearOperatorsNorm ((REAL-NS n),(REAL-NS 1))) . (Proj (i,n)) <= 1 )