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-rw-r--r--theories/Arith/Peano_dec.v2
1 files changed, 1 insertions, 1 deletions
diff --git a/theories/Arith/Peano_dec.v b/theories/Arith/Peano_dec.v
index 5a9e980738..42335f98ba 100644
--- a/theories/Arith/Peano_dec.v
+++ b/theories/Arith/Peano_dec.v
@@ -23,7 +23,7 @@ Defined.
Theorem eq_nat_dec : forall n m, {n = m} + {n <> m}.
Proof.
- induction n; induction m; auto.
+ induction n; destruct m; auto.
elim (IHn m); auto.
Defined.