proposition: Lemma coset1_injm : 'injm (@coset gT 1).
proof: Proof. by rewrite ker_coset /=. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq div) mathcomp(choice fintype prime finset fingroup morphism) mathcomp(automorphism)