Section circle_continuity.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma circle_circle' :
circle_circle ->
forall C D F G J K P Q R S,
CI J C R S -> InCirc P J ->
OutCirc Q J -> CI K D F G ->
OnCirc P K -> OnCirc Q K ->
exists X, OnCirc X J /\ OnCirc X K.