proposition: Lemma noConf_nat_refl_true n : noConf_nat n n <~> inj unit.
proof: Proof. refine {| equiv x := tt |}. unshelve refine {| equiv_inv x := _ |}. induction n. constructor. apply IHn. red; intros. destruct x. reflexivity. red; intros. induction n. destruct x. reflexivity. simpl. apply IHn. simpl. intros. induction n ; simpl. destruct x. reflexivity. simpl. apply IHn. Defined.
imports: Equations Utf8 DepElimDec EqDecInstances