proposition: Lemma inc_segment_image a b f : f a <= f b -> f @`[a, b] = `[f a, f b].
proof: Proof. by case: ltrP. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule