Section club.
Variable Scottish RedSocks WearKilt Married GoOutSunday : Prop.
Hypothesis rule1 : ~ Scottish -> RedSocks.
Hypothesis rule2 : WearKilt \/ ~ RedSocks.
Hypothesis rule3 : Married -> ~ GoOutSunday.
Hypothesis rule4 : GoOutSunday <-> Scottish.
Hypothesis rule5 : WearKilt -> Scottish /\ Married.
Hypothesis rule6 : Scottish -> WearKilt.
tauto.
Qed.
End club.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.
tauto.
Qed.

Theorem y7 : forall (x0 : A /\ B -> C) (x1 : B) (x2 : A), C.