(* *)
(**************************************************************************)
-set "baseuri" "cic:/matita/algebra/groups/".
-
include "algebra/monoids.ma".
include "nat/le_arith.ma".
include "datatypes/bool.ma".
(*CSC: here the coercion Type_of_Group cannot be omitted. Why? *)
theorem in_x_mk_left_coset_x_H:
- ∀G.∀x:Type_of_Group G.∀H:subgroup G.x ∈ (x*H).
+ ∀G.∀x:Type_OF_Group G.∀H:subgroup G.x ∈ (x*H).
intros;
simplify;
apply (ex_intro ? ? 1);