proposition: Lemma strictly_monotonous_in_injective_in : forall D f, strictly_monotonous_in D f -> injective_in D f.
proof: Proof. intros D f [f_dec | f_inc] ; [apply strictly_decreasing_in_injective_in | apply strictly_increasing_in_injective_in] ; assumption. Qed.
imports: Rbase Ranalysis Rinterval Rfunctions Rfunction_def Rfunction_facts Ranalysis_def Ranalysis_def_simpl MyRIneq MyR_dist Lra