Lemma stnneq_iff_nopath {n : nat} (i j: ⟦n⟧ ) : ¬ (i = j) <-> i ≠ j. Proof. intros. apply negProp_to_iff. Defined.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.DecidablePropositions. Require Import UniMath.MoreFoundations.NegativePropositions.