End T7_1.
Hint Resolve l7_13 : cong.
Hint Resolve l7_2 l7_3_2 : midpoint.
Ltac Midpoint := auto with midpoint.
Section T7_2.
Context {Tn:Tarski_neutral_dimensionless}.
Context {TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality Tn}.

Lemma l7_22_aux : forall A1 A2 B1 B2 C M1 M2,
Bet A1 C A2 -> Bet B1 C B2 ->
Cong C A1 C B1 -> Cong C A2 C B2 ->
Midpoint M1 A1 B1 -> Midpoint M2 A2 B2 ->
Le C A1 C A2 ->
Bet M1 C M2.