Section Tarski_neutral_to_Hilbert_neutral.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.
Instance Hilbert_neutral_follows_from_Tarski_neutral : Hilbert_neutral_dimensionless.
Instance Hilbert_3D_follows_from_Tarski_3D : Hilbert_neutral_3D Hilbert_neutral_follows_from_Tarski_neutral.

Lemma axiom_euclid_uniqueness :
forall l P m1 m2,
~ IncidentL P l ->
Para l m1 -> IncidentL P m1 ->
Para l m2 -> IncidentL P m2 ->
EqL m1 m2.