(* Wish #2154 by E. van der Weegen *) (* auto was not using f_equal-style lemmas with metavariables occuring only in the type of an evar of the concl, but not directly in the concl itself *) Parameters (F: Prop -> Prop) (G: forall T, (T -> Prop) -> Type) (L: forall A (P: A -> Prop), G A P -> forall x, F (P x)) (Q: unit -> Prop). Hint Resolve L. Goal G unit Q -> F (Q tt). intro. auto. Qed. (* Test implicit arguments in "using" clause *) Goal forall n:nat, nat * nat. auto using (pair O). Undo. eauto using (pair O). Qed.