Lemma isldistr_weq_fwd {X Y : UU} (H : X ≃ Y) (op1 op2 : binop X) : isldistr op1 op2 → isldistr (binop_weq_fwd H op1) (binop_weq_fwd H op2). Proof. intros is x y z. unfold binop_weq_fwd. apply maponpaths. refine (_ @ is _ _ _ @ _). - apply maponpaths. apply homotinvweqweq. - apply map_on_two_paths ; apply homotinvweqweq0. Defined.