theorem Th19: :: RLAFFIN3:19

for n, m being Nat
for Affn being affinely-independent Subset of (TOP-REAL n)
for EN being Enumeration of Affn
for M being Matrix of n,m,F_Real st the_rank_of M = n holds
for ME being Enumeration of (Mx2Tran M) .: Affn st ME = (Mx2Tran M) * EN holds
for pn being Point of (TOP-REAL n) st pn in Affin Affn holds
pn |-- EN = ((Mx2Tran M) . pn) |-- ME