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-rw-r--r--contrib/ring/NArithRing.v4
-rw-r--r--theories/NArith/BinNat.v4
2 files changed, 4 insertions, 4 deletions
diff --git a/contrib/ring/NArithRing.v b/contrib/ring/NArithRing.v
index 018503dc8a..65814a1400 100644
--- a/contrib/ring/NArithRing.v
+++ b/contrib/ring/NArithRing.v
@@ -30,9 +30,9 @@ Save.
Definition NTheory : (Semi_Ring_Theory Nplus Nmult (Pos xH) Nul Neq).
Split.
Apply Nplus_comm.
- Symmetry; Apply Nplus_assoc.
+ Apply Nplus_assoc.
Apply Nmult_comm.
- Symmetry; Apply Nmult_assoc.
+ Apply Nmult_assoc.
Apply Nplus_0_l.
Apply Nmult_1_l.
Apply Nmult_0_l.
diff --git a/theories/NArith/BinNat.v b/theories/NArith/BinNat.v
index 084afccbc0..e11194a5d9 100644
--- a/theories/NArith/BinNat.v
+++ b/theories/NArith/BinNat.v
@@ -107,7 +107,7 @@ Rewrite add_sym; Reflexivity.
Qed.
Theorem Nplus_assoc :
- (n,m,p:entier)(Nplus (Nplus n m) p)=(Nplus n (Nplus m p)).
+ (n,m,p:entier)(Nplus n (Nplus m p))=(Nplus (Nplus n m) p).
Proof.
Intros.
NewDestruct n; Try Reflexivity.
@@ -163,7 +163,7 @@ Rewrite times_sym; Reflexivity.
Qed.
Theorem Nmult_assoc :
- (n,m,p:entier)(Nmult (Nmult n m) p)=(Nmult n (Nmult m p)).
+ (n,m,p:entier)(Nmult n (Nmult m p))=(Nmult (Nmult n m) p).
Proof.
Intros.
NewDestruct n; Try Reflexivity.