proposition: Lemma strictly_monotonous_injective f : strictly_monotonous f -> injective f.
proof: Proof. apply strictly_monotonous_in_injective_in. Qed.
imports: Rbase Ranalysis Rinterval Rfunctions Rfunction_def Rfunction_facts Ranalysis_def Ranalysis_def_simpl MyRIneq MyR_dist Lra