theorem :: PENCIL_4:9

for F being Field
for V being finite-dimensional VectSp of F
for k being Nat
for W1, W2, W3, W4 being Subspace of V st W1 is Subspace of W2 & W3 is Subspace of W4 & (Omega). W1 = (Omega). W3 & (Omega). W2 = (Omega). W4 holds
pencil (W1,W2,k) = pencil (W3,W4,k) by Th6;