Section Dedekind_cantor.
Context `{TnEQD:Tarski_neutral_dimensionless_with_decidable_point_equality}.

Lemma nested__bet : forall A B n n1 m An An1 Bm,
Nested A B -> n < n1 -> A n An -> A n1 An1 -> B m Bm -> Bet An An1 Bm.