(* ===> forall A : Type, A -> A -> Prop *)

(** (Notice that we wrote [@eq] instead of [eq]: The type
    argument [A] to [eq] is declared as implicit, so we need to turn
    off implicit arguments to see the full type of [eq].) *)

(* ################################################################# *)
(** * Logical Connectives *)

(* ================================================================= *)
(** ** Conjunction *)

(** The _conjunction_ (or _logical and_) of propositions [A] and [B]
    is written [A /\ B], representing the claim that both [A] and [B]
    are true. *)

Example and_example : 3 + 4 = 7 /\ 2 * 2 = 4.

Lemma and_intro : forall A B : Prop, A -> B -> A /\ B.