inductive True: Prop \def
I : True.
+default "true" cic:/matita/logic/True.ind.
+
inductive False: Prop \def .
+default "false" cic:/matita/logic/False.ind.
+
definition Not: Prop \to Prop \def
\lambda A. (A \to False).
intros. elim (H1 H).
qed.
+default "absurd" cic:/matita/logic/absurd.ind.
+
inductive And (A,B:Prop) : Prop \def
conj : A \to B \to (And A B).