Definition to := TotalAction act_f_1 act_f_morph.Definition coin0 (sc : col_squares) : colors := sc c0.Definition coin1 (sc : col_squares) : colors := sc c1.Definition coin2 (sc : col_squares) : colors := sc c2.Definition coin3 (sc : col_squares) : colors := sc c3.

(* Specifications: *)
Lemma r1_inv : r1^-1 = r3.
Lemma r2_inv : r2^-1 = r2.
Lemma r3_inv : r3^-1 = r1.
Lemma burnside_app2 : (square_coloring_number2 * 2 = n ^ 4 + n ^ 2)%N.
Lemma burnside_app_rot : (square_coloring_number4 * 4 = n ^ 4 + n ^ 2 + 2 * n)%N.
Lemma burnside_app_iso : (square_coloring_number8 * 8 = n ^ 4 + 2 * n ^ 3 + 3 * n ^ 2 + 2 * n)%N.