Section Bisector_2.
Context `{TE:Tarski_euclidean}.

Lemma equality_foot_out_out : forall A B C I H1 H2,
~ Col A B C -> InAngle I A B C ->
Col B C H2 -> Cong I H1 I H2->
Perp A B I H1 -> Perp B C I H2 ->
Out B H1 A -> Out B H2 C.