theorem :: GOBRD13:32

for k, n being Nat
for f being FinSequence of (TOP-REAL 2)
for G being Go-board st 1 <= k & k + 1 <= len (f /^ n) & n <= len f & f is_sequence_on G holds
( left_cell (f,(k + n),G) = left_cell ((f /^ n),k,G) & right_cell (f,(k + n),G) = right_cell ((f /^ n),k,G) )