diff options
Diffstat (limited to 'theories/Relations/Operators_Properties.v')
| -rw-r--r-- | theories/Relations/Operators_Properties.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Relations/Operators_Properties.v b/theories/Relations/Operators_Properties.v index f7f5512e..779c3d9a 100644 --- a/theories/Relations/Operators_Properties.v +++ b/theories/Relations/Operators_Properties.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -50,7 +50,7 @@ Section Properties. Lemma clos_rt_idempotent : inclusion (R*)* R*. Proof. - red in |- *. + red. induction 1; auto with sets. intros. apply rt_trans with y; auto with sets. @@ -66,7 +66,7 @@ Section Properties. Lemma clos_rt_clos_rst : inclusion (clos_refl_trans R) (clos_refl_sym_trans R). Proof. - red in |- *. + red. induction 1; auto with sets. apply rst_trans with y; auto with sets. Qed. @@ -87,7 +87,7 @@ Section Properties. inclusion (clos_refl_sym_trans (clos_refl_sym_trans R)) (clos_refl_sym_trans R). Proof. - red in |- *. + red. induction 1; auto with sets. apply rst_trans with y; auto with sets. Qed. |