diff options
| -rw-r--r-- | tactics/tauto.ml4 | 15 | ||||
| -rw-r--r-- | theories/QArith/Qreduction.v | 4 | ||||
| -rw-r--r-- | theories/ZArith/Znumtheory.v | 3 |
3 files changed, 16 insertions, 6 deletions
diff --git a/tactics/tauto.ml4 b/tactics/tauto.ml4 index ad6d02230..6ce54c5a2 100644 --- a/tactics/tauto.ml4 +++ b/tactics/tauto.ml4 @@ -45,10 +45,21 @@ let is_record t = let (mib,mip) = Global.lookup_inductive ind in mib.Declarations.mind_record | _ -> false - + +let is_binary t = + let (hdapp,args) = decompose_app t in + match (kind_of_term hdapp) with + | Ind ind -> + let (mib,mip) = Global.lookup_inductive ind in + mib.Declarations.mind_nparams = 2 + | _ -> false + let is_conj ist = let ind = assoc_last ist in - if (is_conjunction ind) && (is_nodep_ind ind) && not (is_record ind) then + if (is_conjunction ind) && (is_nodep_ind ind) && not (is_record ind) + && is_binary ind (* for compatibility, as (?X _ _) matches + applications with 2 or more arguments. *) + then <:tactic<idtac>> else <:tactic<fail>> diff --git a/theories/QArith/Qreduction.v b/theories/QArith/Qreduction.v index f289b6106..6b16cfff4 100644 --- a/theories/QArith/Qreduction.v +++ b/theories/QArith/Qreduction.v @@ -49,7 +49,7 @@ Proof. Open Scope Z_scope. intuition. rewrite <- H in H0,H1; clear H. - rewrite H5; rewrite H6. + rewrite H3; rewrite H4. assert (0 <> g). intro; subst g; discriminate. @@ -57,7 +57,7 @@ Proof. apply Zmult_gt_0_lt_0_reg_r with g. omega. rewrite Zmult_comm. - rewrite <- H6; compute; auto. + rewrite <- H4; compute; auto. rewrite Z2P_correct; auto. ring. Close Scope Z_scope. diff --git a/theories/ZArith/Znumtheory.v b/theories/ZArith/Znumtheory.v index f4e5bfc15..93ec1081b 100644 --- a/theories/ZArith/Znumtheory.v +++ b/theories/ZArith/Znumtheory.v @@ -521,8 +521,7 @@ Qed. Lemma Zis_gcd_mult : forall a b c d:Z, Zis_gcd a b d -> Zis_gcd (c * a) (c * b) (c * d). Proof. - intros a b c d; simple induction 1; constructor. - intuition. intuition. intros. + intros a b c d; simple induction 1; constructor; intuition. elim (Zis_gcd_bezout a b d H). intros. elim H3; intros. elim H4; intros. |