Require Export GeoCoq.Tarski_dev.Ch10_line_reflexivity.
Section T10_1.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma image_gen_preserves_inter : forall A B C D I A' B' C' D' I' X Y,
Reflect A A' X Y -> Reflect B B' X Y -> Reflect C C' X Y -> Reflect D D' X Y ->
~ Col A B C -> C <> D ->
Col A B I -> Col C D I -> Col A' B' I' -> Col C' D' I' ->
Reflect I I' X Y.