Hint Resolve bet_col col_permutation_1 col_permutation_2
col_permutation_3 col_permutation_4 col_permutation_5 : col.
Ltac Col := auto 3 with col.
Ltac Col5 := auto with col.
Section T4_2.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

(* Specifications: *)
Lemma not_col_permutation_1 :
forall (A B C : Tpoint), ~ Col A B C -> ~ Col B C A.
Lemma not_col_permutation_2 :
forall (A B C : Tpoint), ~ Col A B C -> ~ Col C A B.
Lemma not_col_permutation_3 :
forall (A B C : Tpoint), ~ Col A B C -> ~ Col C B A.
Lemma not_col_permutation_4 :
forall (A B C : Tpoint), ~ Col A B C -> ~ Col B A C.
Lemma not_col_permutation_5 :
forall (A B C : Tpoint), ~ Col A B C -> ~ Col A C B.