theorem Th11: :: JORDAN1F:11

for G being Go-board
for p being Point of (TOP-REAL 2)
for f being FinSequence of (TOP-REAL 2) st f is_sequence_on G & ex i, j being Nat st
( [i,j] in Indices G & p = G * (i,j) ) & ( for i1, j1, i2, j2 being Nat st [i1,j1] in Indices G & [i2,j2] in Indices G & p = G * (i1,j1) & f /. 1 = G * (i2,j2) holds
|.(i2 - i1).| + |.(j2 - j1).| = 1 ) holds
<*p*> ^ f is_sequence_on G