diff options
Diffstat (limited to 'theories/Sorting')
| -rw-r--r-- | theories/Sorting/Permutation.v | 18 |
1 files changed, 9 insertions, 9 deletions
diff --git a/theories/Sorting/Permutation.v b/theories/Sorting/Permutation.v index 1dd9285412..026cf32ceb 100644 --- a/theories/Sorting/Permutation.v +++ b/theories/Sorting/Permutation.v @@ -273,8 +273,8 @@ Proof. exact Permutation_length. Qed. -Instance Permutation_Forall (P : A -> Prop) : - Proper ((@Permutation A) ==> Basics.impl) (Forall P). +Global Instance Permutation_Forall (P : A -> Prop) : + Proper ((@Permutation A) ==> Basics.impl) (Forall P) | 10. Proof. intros l1 l2 HP. induction HP; intro HF; auto. @@ -283,8 +283,8 @@ Proof. inversion_clear HF2; auto. Qed. -Instance Permutation_Exists (P : A -> Prop) : - Proper ((@Permutation A) ==> Basics.impl) (Exists P). +Global Instance Permutation_Exists (P : A -> Prop) : + Proper ((@Permutation A) ==> Basics.impl) (Exists P) | 10. Proof. intros l1 l2 HP. induction HP; intro HF; auto. @@ -581,8 +581,8 @@ Proof. now contradiction (Hf x). Qed. -Instance Permutation_flat_map (g : A -> list B) : - Proper ((@Permutation A) ==> (@Permutation B)) (flat_map g). +Global Instance Permutation_flat_map (g : A -> list B) : + Proper ((@Permutation A) ==> (@Permutation B)) (flat_map g) | 10. Proof. intros l1; induction l1; intros l2 HP. - now apply Permutation_nil in HP; subst. @@ -773,7 +773,7 @@ Qed. End Permutation_alt. -Instance Permutation_list_sum : Proper (@Permutation nat ==> eq) list_sum. +Instance Permutation_list_sum : Proper (@Permutation nat ==> eq) list_sum | 10. Proof. intros l1 l2 HP; induction HP; simpl; intuition. - rewrite 2 (Nat.add_comm x). @@ -781,7 +781,7 @@ Proof. - now transitivity (list_sum l'). Qed. -Instance Permutation_list_max : Proper (@Permutation nat ==> eq) list_max. +Instance Permutation_list_max : Proper (@Permutation nat ==> eq) list_max | 10. Proof. intros l1 l2 HP; induction HP; simpl; intuition. - rewrite 2 (Nat.max_comm x). @@ -806,7 +806,7 @@ Proof. now apply (perm_t_trans IHHP2). Qed. -Instance Permutation_transp_equiv : Equivalence Permutation_transp. +Global Instance Permutation_transp_equiv : Equivalence Permutation_transp | 100. Proof. split. - intros l; apply perm_t_refl. |