Lemma isabgrop_weq_fwd {X Y : UU} (H : X ≃ Y) (opp : binop X) : isabgrop opp → isabgrop (binop_weq_fwd H opp). Proof. intro is. split. apply isgrop_weq_fwd, (pr1 is). apply iscomm_weq_fwd, (pr2 is). Defined.