proposition: Lemma adjoin_separable_eq K x : separable_element K x = separable K <<K; x>>%VS.
proof: Proof. exact: sameP adjoin_separableP separableP. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq div) mathcomp(choice fintype tuple finfun bigop finset prime) mathcomp(binomial ssralg poly polydiv fingroup perm) mathcomp(morphism quotient gproduct finalg zmodp cyclic) mathcomp(matrix mxalgebra mxpoly polyXY vector falgebra) mathcomp(fieldext)