Lemma triviality_isomorphism_compute (G:gr) : triviality_isomorphism (trivialTorsor G) (unel G) = idActionIso (trivialTorsor G). Proof. apply subtypePath_prop. apply subtypePath. { intros X. apply isapropisweq. } apply funextsec; intros g. change (op g (unel _) = g). apply runax. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Propositions. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups. Require Import UniMath.OrderTheory.OrderedSets.OrderedSets. Import UniMath.MoreFoundations.PartA.