Lemma iterop_seq_mon_step {n} (x:stn (S n) → M) : iterop_seq_mon (S n,,x) = iterop_seq_mon (n,,x ∘ dni lastelement) * x lastelement. Proof. intros. induction n as [|n _]. - cbn. apply pathsinv0, lunax. - reflexivity. Defined.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Algebra.Groups. Require Import UniMath.MoreFoundations.NegativePropositions.