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+Set Printing Dependent Evars Line.
+Lemma strange_imp_trans :
+ forall P Q R : Prop, (Q -> R) -> (P -> Q) -> (P -> Q) -> P -> R.
+Proof.
+ auto.
+Qed.
+
+Lemma modpon : forall P Q : Prop, (P -> Q) /\ P -> Q.
+Proof.
+ tauto.
+Qed.
+
+Section eex.
+ Variables P1 P2 P3 P4 : Prop.
+ Hypothesis p12 : P1 -> P2.
+ Hypothesis p123 : (P1 -> P2) -> P3.
+ Hypothesis p34 : P3 -> P4.
+
+ Lemma p14 : P4.
+ Proof.
+ eapply strange_imp_trans.
+ apply modpon.
+ Abort.
+End eex.