Lemma islapbinop_op1 : ∏ x x' y : X, op1 x y ≠ op1 x' y → x ≠ x'. Proof. exact (islapbinop_op (X := apsetwith2binop_apsetwithbinop1)). Qed.
Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.DecidablePropositions.