Require Reals. Require DiscrR. Lemma ex0: ``1<>0``. Proof. DiscrR. Save. Lemma ex1: ``0<>2``. Proof. DiscrR. Save. Lemma ex2: ``4<>3``. Proof. DiscrR. Save. Lemma ex3: ``3<>5``. Proof. DiscrR. Save. Lemma ex4: ``-1<>0``. Proof. DiscrR. Save. Lemma ex5: ``-2<>-3``. Proof. DiscrR. Save. Lemma ex6: ``8<>-3``. Proof. DiscrR. Save. Lemma ex7: ``-8<>3``. Proof. DiscrR. Save.