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set "baseuri" "cic:/matita/tests/paramodulation".
+include "coq.ma".
alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
-alias symbol "eq" (instance 0) = "leibnitz's equality".
-alias symbol "plus" (instance 0) = "natural plus".
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+alias symbol "plus" (instance 0) = "Coq's natural plus".
alias num (instance 0) = "natural number".
-alias symbol "times" (instance 0) = "natural times".
+alias symbol "times" (instance 0) = "Coq's natural times".
theorem para1:
\forall n,m,n1,m1:nat.
n=m \to n1 = m1 \to (n + n1) = (m + m1).
-intros. auto.
+intros. auto paramodulation.
qed.
theorem para2:
\forall n:nat. n + n = 2 * n.
-intros. auto.
-qed.
\ No newline at end of file
+intros. auto paramodulation.
+qed.